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Finding the Fourth Proportional to 691.21, 952.82 and 585.91

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Solution

The fourth proportional to 691.21, 952.82 and 585.91 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.21 : 952.82 = 585.91 : x
  2. Step 2: Convert to fraction form
    691.21/952.82 = 585.91/x
  3. Step 3: Cross multiply
    691.21x = 952.82 × 585.91
  4. Step 4: Simplify right side
    691.21x = 558,261.45
  5. Step 5: Solve for x
    x = 558,261.45/691.21
  6. Step 6: Final answer
    x = 807.66

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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.