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Finding the Fourth Proportional to 658.02, 978.97 and 619.14

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Solution

The fourth proportional to 658.02, 978.97 and 619.14 is: 921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.02 : 978.97 = 619.14 : x
  2. Step 2: Convert to fraction form
    658.02/978.97 = 619.14/x
  3. Step 3: Cross multiply
    658.02x = 978.97 × 619.14
  4. Step 4: Simplify right side
    658.02x = 606,119.49
  5. Step 5: Solve for x
    x = 606,119.49/658.02
  6. Step 6: Final answer
    x = 921.13

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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.