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Finding the Fourth Proportional to 691.06, 953.38 and 442.30

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Solution

The fourth proportional to 691.06, 953.38 and 442.30 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.06 : 953.38 = 442.30 : x
  2. Step 2: Convert to fraction form
    691.06/953.38 = 442.30/x
  3. Step 3: Cross multiply
    691.06x = 953.38 × 442.30
  4. Step 4: Simplify right side
    691.06x = 421,679.97
  5. Step 5: Solve for x
    x = 421,679.97/691.06
  6. Step 6: Final answer
    x = 610.19

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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.