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Finding the Fourth Proportional to 750.03, 1,034.99 and 470.25

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Solution

The fourth proportional to 750.03, 1,034.99 and 470.25 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.03 : 1,034.99 = 470.25 : x
  2. Step 2: Convert to fraction form
    750.03/1,034.99 = 470.25/x
  3. Step 3: Cross multiply
    750.03x = 1,034.99 × 470.25
  4. Step 4: Simplify right side
    750.03x = 486,703.46
  5. Step 5: Solve for x
    x = 486,703.46/750.03
  6. Step 6: Final answer
    x = 648.91

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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.