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Finding the Fourth Proportional to 946.76, 1,305.12 and 666.08

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Solution

The fourth proportional to 946.76, 1,305.12 and 666.08 is: 918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,305.12 = 666.08 : x
  2. Step 2: Convert to fraction form
    946.76/1,305.12 = 666.08/x
  3. Step 3: Cross multiply
    946.76x = 1,305.12 × 666.08
  4. Step 4: Simplify right side
    946.76x = 869,314.33
  5. Step 5: Solve for x
    x = 869,314.33/946.76
  6. Step 6: Final answer
    x = 918.20

Related Problems

Find fourth proportional to 473.38, 652.56 and 333.04
Half scale
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Double scale
Find fourth proportional to 947.76, 1,306.50 and 667.08
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.