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Finding the Fourth Proportional to 586.49, 878.00 and 451.13

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Solution

The fourth proportional to 586.49, 878.00 and 451.13 is: 675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.49 : 878.00 = 451.13 : x
  2. Step 2: Convert to fraction form
    586.49/878.00 = 451.13/x
  3. Step 3: Cross multiply
    586.49x = 878.00 × 451.13
  4. Step 4: Simplify right side
    586.49x = 396,085.49
  5. Step 5: Solve for x
    x = 396,085.49/586.49
  6. Step 6: Final answer
    x = 675.35

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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.