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Finding the Fourth Proportional to 614.48, 921.77 and 306.02

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Solution

The fourth proportional to 614.48, 921.77 and 306.02 is: 459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.48 : 921.77 = 306.02 : x
  2. Step 2: Convert to fraction form
    614.48/921.77 = 306.02/x
  3. Step 3: Cross multiply
    614.48x = 921.77 × 306.02
  4. Step 4: Simplify right side
    614.48x = 282,073.92
  5. Step 5: Solve for x
    x = 282,073.92/614.48
  6. Step 6: Final answer
    x = 459.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.