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Finding the Fourth Proportional to 691.02, 951.90 and 581.10

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Solution

The fourth proportional to 691.02, 951.90 and 581.10 is: 800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.02 : 951.90 = 581.10 : x
  2. Step 2: Convert to fraction form
    691.02/951.90 = 581.10/x
  3. Step 3: Cross multiply
    691.02x = 951.90 × 581.10
  4. Step 4: Simplify right side
    691.02x = 553,149.09
  5. Step 5: Solve for x
    x = 553,149.09/691.02
  6. Step 6: Final answer
    x = 800.48

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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.