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Finding the Fourth Proportional to 946.72, 1,305.10 and 666.10

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Solution

The fourth proportional to 946.72, 1,305.10 and 666.10 is: 918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.72 : 1,305.10 = 666.10 : x
  2. Step 2: Convert to fraction form
    946.72/1,305.10 = 666.10/x
  3. Step 3: Cross multiply
    946.72x = 1,305.10 × 666.10
  4. Step 4: Simplify right side
    946.72x = 869,327.11
  5. Step 5: Solve for x
    x = 869,327.11/946.72
  6. Step 6: Final answer
    x = 918.25

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Double scale
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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.