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Finding the Fourth Proportional to 709.50, 1,058.08 and 630.84

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Solution

The fourth proportional to 709.50, 1,058.08 and 630.84 is: 940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 1,058.08 = 630.84 : x
  2. Step 2: Convert to fraction form
    709.50/1,058.08 = 630.84/x
  3. Step 3: Cross multiply
    709.50x = 1,058.08 × 630.84
  4. Step 4: Simplify right side
    709.50x = 667,477.61
  5. Step 5: Solve for x
    x = 667,477.61/709.50
  6. Step 6: Final answer
    x = 940.77

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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.