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Finding the Fourth Proportional to 920.01, 1,380.80 and 457.65

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Solution

The fourth proportional to 920.01, 1,380.80 and 457.65 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.01 : 1,380.80 = 457.65 : x
  2. Step 2: Convert to fraction form
    920.01/1,380.80 = 457.65/x
  3. Step 3: Cross multiply
    920.01x = 1,380.80 × 457.65
  4. Step 4: Simplify right side
    920.01x = 631,921.69
  5. Step 5: Solve for x
    x = 631,921.69/920.01
  6. Step 6: Final answer
    x = 686.87

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1.5x scale

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.