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Finding the Fourth Proportional to 526.08, 724.17 and 506.95

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Solution

The fourth proportional to 526.08, 724.17 and 506.95 is: 697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 724.17 = 506.95 : x
  2. Step 2: Convert to fraction form
    526.08/724.17 = 506.95/x
  3. Step 3: Cross multiply
    526.08x = 724.17 × 506.95
  4. Step 4: Simplify right side
    526.08x = 367,118.07
  5. Step 5: Solve for x
    x = 367,118.07/526.08
  6. Step 6: Final answer
    x = 697.83

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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.