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Finding the Fourth Proportional to 749.91, 1,035.51 and 470.61

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Solution

The fourth proportional to 749.91, 1,035.51 and 470.61 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.91 : 1,035.51 = 470.61 : x
  2. Step 2: Convert to fraction form
    749.91/1,035.51 = 470.61/x
  3. Step 3: Cross multiply
    749.91x = 1,035.51 × 470.61
  4. Step 4: Simplify right side
    749.91x = 487,313.83
  5. Step 5: Solve for x
    x = 487,313.83/749.91
  6. Step 6: Final answer
    x = 649.83

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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.