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Finding the Fourth Proportional to 614.75, 920.30 and 483.53

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Solution

The fourth proportional to 614.75, 920.30 and 483.53 is: 723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 920.30 = 483.53 : x
  2. Step 2: Convert to fraction form
    614.75/920.30 = 483.53/x
  3. Step 3: Cross multiply
    614.75x = 920.30 × 483.53
  4. Step 4: Simplify right side
    614.75x = 444,985.64
  5. Step 5: Solve for x
    x = 444,985.64/614.75
  6. Step 6: Final answer
    x = 723.85

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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.