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Finding the Fourth Proportional to 697.57, 962.50 and 417.71

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Solution

The fourth proportional to 697.57, 962.50 and 417.71 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 962.50 = 417.71 : x
  2. Step 2: Convert to fraction form
    697.57/962.50 = 417.71/x
  3. Step 3: Cross multiply
    697.57x = 962.50 × 417.71
  4. Step 4: Simplify right side
    697.57x = 402,045.88
  5. Step 5: Solve for x
    x = 402,045.88/697.57
  6. Step 6: Final answer
    x = 576.35

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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.