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Finding the Fourth Proportional to 946.56, 1,306.05 and 614.87

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Solution

The fourth proportional to 946.56, 1,306.05 and 614.87 is: 848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,306.05 = 614.87 : x
  2. Step 2: Convert to fraction form
    946.56/1,306.05 = 614.87/x
  3. Step 3: Cross multiply
    946.56x = 1,306.05 × 614.87
  4. Step 4: Simplify right side
    946.56x = 803,045.08
  5. Step 5: Solve for x
    x = 803,045.08/946.56
  6. Step 6: Final answer
    x = 848.38

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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.