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Finding the Fourth Proportional to 461.59, 691.37 and 358.06

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Solution

The fourth proportional to 461.59, 691.37 and 358.06 is: 536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.59 : 691.37 = 358.06 : x
  2. Step 2: Convert to fraction form
    461.59/691.37 = 358.06/x
  3. Step 3: Cross multiply
    461.59x = 691.37 × 358.06
  4. Step 4: Simplify right side
    461.59x = 247,550.15
  5. Step 5: Solve for x
    x = 247,550.15/461.59
  6. Step 6: Final answer
    x = 536.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.