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Finding the Fourth Proportional to 707.60, 1,061.40 and 560.72

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Solution

The fourth proportional to 707.60, 1,061.40 and 560.72 is: 841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.60 : 1,061.40 = 560.72 : x
  2. Step 2: Convert to fraction form
    707.60/1,061.40 = 560.72/x
  3. Step 3: Cross multiply
    707.60x = 1,061.40 × 560.72
  4. Step 4: Simplify right side
    707.60x = 595,148.21
  5. Step 5: Solve for x
    x = 595,148.21/707.60
  6. Step 6: Final answer
    x = 841.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.