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Finding the Fourth Proportional to 750.65, 1,035.54 and 470.75

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Solution

The fourth proportional to 750.65, 1,035.54 and 470.75 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.65 : 1,035.54 = 470.75 : x
  2. Step 2: Convert to fraction form
    750.65/1,035.54 = 470.75/x
  3. Step 3: Cross multiply
    750.65x = 1,035.54 × 470.75
  4. Step 4: Simplify right side
    750.65x = 487,481.96
  5. Step 5: Solve for x
    x = 487,481.96/750.65
  6. Step 6: Final answer
    x = 649.41

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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.