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Finding the Fourth Proportional to 614.58, 847.36 and 527.10

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Solution

The fourth proportional to 614.58, 847.36 and 527.10 is: 726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.58 : 847.36 = 527.10 : x
  2. Step 2: Convert to fraction form
    614.58/847.36 = 527.10/x
  3. Step 3: Cross multiply
    614.58x = 847.36 × 527.10
  4. Step 4: Simplify right side
    614.58x = 446,643.46
  5. Step 5: Solve for x
    x = 446,643.46/614.58
  6. Step 6: Final answer
    x = 726.75

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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.