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Finding the Fourth Proportional to 749.70, 1,124.19 and 457.38

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Solution

The fourth proportional to 749.70, 1,124.19 and 457.38 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.70 : 1,124.19 = 457.38 : x
  2. Step 2: Convert to fraction form
    749.70/1,124.19 = 457.38/x
  3. Step 3: Cross multiply
    749.70x = 1,124.19 × 457.38
  4. Step 4: Simplify right side
    749.70x = 514,182.02
  5. Step 5: Solve for x
    x = 514,182.02/749.70
  6. Step 6: Final answer
    x = 685.85

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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.