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Finding the Fourth Proportional to 691.17, 952.95 and 442.08

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Solution

The fourth proportional to 691.17, 952.95 and 442.08 is: 609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.17 : 952.95 = 442.08 : x
  2. Step 2: Convert to fraction form
    691.17/952.95 = 442.08/x
  3. Step 3: Cross multiply
    691.17x = 952.95 × 442.08
  4. Step 4: Simplify right side
    691.17x = 421,280.14
  5. Step 5: Solve for x
    x = 421,280.14/691.17
  6. Step 6: Final answer
    x = 609.52

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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.