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Finding the Fourth Proportional to 587.61, 809.97 and 463.08

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Solution

The fourth proportional to 587.61, 809.97 and 463.08 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 809.97 = 463.08 : x
  2. Step 2: Convert to fraction form
    587.61/809.97 = 463.08/x
  3. Step 3: Cross multiply
    587.61x = 809.97 × 463.08
  4. Step 4: Simplify right side
    587.61x = 375,080.91
  5. Step 5: Solve for x
    x = 375,080.91/587.61
  6. Step 6: Final answer
    x = 638.32

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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.