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Finding the Fourth Proportional to 691.80, 954.48 and 397.06

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Solution

The fourth proportional to 691.80, 954.48 and 397.06 is: 547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 954.48 = 397.06 : x
  2. Step 2: Convert to fraction form
    691.80/954.48 = 397.06/x
  3. Step 3: Cross multiply
    691.80x = 954.48 × 397.06
  4. Step 4: Simplify right side
    691.80x = 378,985.83
  5. Step 5: Solve for x
    x = 378,985.83/691.80
  6. Step 6: Final answer
    x = 547.83

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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.