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Finding the Fourth Proportional to 587.52, 810.54 and 354.24

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Solution

The fourth proportional to 587.52, 810.54 and 354.24 is: 488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 810.54 = 354.24 : x
  2. Step 2: Convert to fraction form
    587.52/810.54 = 354.24/x
  3. Step 3: Cross multiply
    587.52x = 810.54 × 354.24
  4. Step 4: Simplify right side
    587.52x = 287,125.69
  5. Step 5: Solve for x
    x = 287,125.69/587.52
  6. Step 6: Final answer
    x = 488.71

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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.