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Finding the Fourth Proportional to 713.08, 1,068.54 and 529.66

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Solution

The fourth proportional to 713.08, 1,068.54 and 529.66 is: 793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.08 : 1,068.54 = 529.66 : x
  2. Step 2: Convert to fraction form
    713.08/1,068.54 = 529.66/x
  3. Step 3: Cross multiply
    713.08x = 1,068.54 × 529.66
  4. Step 4: Simplify right side
    713.08x = 565,962.90
  5. Step 5: Solve for x
    x = 565,962.90/713.08
  6. Step 6: Final answer
    x = 793.69

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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.