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Finding the Fourth Proportional to 586.31, 808.65 and 487.89

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Solution

The fourth proportional to 586.31, 808.65 and 487.89 is: 672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 808.65 = 487.89 : x
  2. Step 2: Convert to fraction form
    586.31/808.65 = 487.89/x
  3. Step 3: Cross multiply
    586.31x = 808.65 × 487.89
  4. Step 4: Simplify right side
    586.31x = 394,532.25
  5. Step 5: Solve for x
    x = 394,532.25/586.31
  6. Step 6: Final answer
    x = 672.91

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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.