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Finding the Fourth Proportional to 691.15, 952.74 and 543.53

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Solution

The fourth proportional to 691.15, 952.74 and 543.53 is: 749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.15 : 952.74 = 543.53 : x
  2. Step 2: Convert to fraction form
    691.15/952.74 = 543.53/x
  3. Step 3: Cross multiply
    691.15x = 952.74 × 543.53
  4. Step 4: Simplify right side
    691.15x = 517,842.77
  5. Step 5: Solve for x
    x = 517,842.77/691.15
  6. Step 6: Final answer
    x = 749.25

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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.