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Finding the Fourth Proportional to 946.76, 1,306.51 and 527.11

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Solution

The fourth proportional to 946.76, 1,306.51 and 527.11 is: 727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,306.51 = 527.11 : x
  2. Step 2: Convert to fraction form
    946.76/1,306.51 = 527.11/x
  3. Step 3: Cross multiply
    946.76x = 1,306.51 × 527.11
  4. Step 4: Simplify right side
    946.76x = 688,674.49
  5. Step 5: Solve for x
    x = 688,674.49/946.76
  6. Step 6: Final answer
    x = 727.40

Related Problems

Find fourth proportional to 473.38, 653.26 and 263.56
Half scale
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Double scale
Find fourth proportional to 947.76, 1,307.89 and 528.11
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.