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Finding the Fourth Proportional to 586.34, 876.42 and 447.94

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Solution

The fourth proportional to 586.34, 876.42 and 447.94 is: 669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.34 : 876.42 = 447.94 : x
  2. Step 2: Convert to fraction form
    586.34/876.42 = 447.94/x
  3. Step 3: Cross multiply
    586.34x = 876.42 × 447.94
  4. Step 4: Simplify right side
    586.34x = 392,583.57
  5. Step 5: Solve for x
    x = 392,583.57/586.34
  6. Step 6: Final answer
    x = 669.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.