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Finding the Fourth Proportional to 704.70, 971.76 and 456.13

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Solution

The fourth proportional to 704.70, 971.76 and 456.13 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 971.76 = 456.13 : x
  2. Step 2: Convert to fraction form
    704.70/971.76 = 456.13/x
  3. Step 3: Cross multiply
    704.70x = 971.76 × 456.13
  4. Step 4: Simplify right side
    704.70x = 443,251.81
  5. Step 5: Solve for x
    x = 443,251.81/704.70
  6. Step 6: Final answer
    x = 628.99

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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.