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Finding the Fourth Proportional to 691.54, 954.34 and 543.90

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Solution

The fourth proportional to 691.54, 954.34 and 543.90 is: 750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 954.34 = 543.90 : x
  2. Step 2: Convert to fraction form
    691.54/954.34 = 543.90/x
  3. Step 3: Cross multiply
    691.54x = 954.34 × 543.90
  4. Step 4: Simplify right side
    691.54x = 519,065.53
  5. Step 5: Solve for x
    x = 519,065.53/691.54
  6. Step 6: Final answer
    x = 750.59

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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.