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Finding the Fourth Proportional to 614.48, 917.47 and 527.69

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Solution

The fourth proportional to 614.48, 917.47 and 527.69 is: 787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.48 : 917.47 = 527.69 : x
  2. Step 2: Convert to fraction form
    614.48/917.47 = 527.69/x
  3. Step 3: Cross multiply
    614.48x = 917.47 × 527.69
  4. Step 4: Simplify right side
    614.48x = 484,139.74
  5. Step 5: Solve for x
    x = 484,139.74/614.48
  6. Step 6: Final answer
    x = 787.89

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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.