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Finding the Fourth Proportional to 946.56, 1,305.61 and 614.40

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Solution

The fourth proportional to 946.56, 1,305.61 and 614.40 is: 847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,305.61 = 614.40 : x
  2. Step 2: Convert to fraction form
    946.56/1,305.61 = 614.40/x
  3. Step 3: Cross multiply
    946.56x = 1,305.61 × 614.40
  4. Step 4: Simplify right side
    946.56x = 802,166.78
  5. Step 5: Solve for x
    x = 802,166.78/946.56
  6. Step 6: Final answer
    x = 847.45

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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.