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Finding the Fourth Proportional to 749.73, 1,035.01 and 470.38

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Solution

The fourth proportional to 749.73, 1,035.01 and 470.38 is: 649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.73 : 1,035.01 = 470.38 : x
  2. Step 2: Convert to fraction form
    749.73/1,035.01 = 470.38/x
  3. Step 3: Cross multiply
    749.73x = 1,035.01 × 470.38
  4. Step 4: Simplify right side
    749.73x = 486,843.31
  5. Step 5: Solve for x
    x = 486,843.31/749.73
  6. Step 6: Final answer
    x = 649.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.