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Finding the Fourth Proportional to 733.36, 1,010.88 and 470.92

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Solution

The fourth proportional to 733.36, 1,010.88 and 470.92 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.36 : 1,010.88 = 470.92 : x
  2. Step 2: Convert to fraction form
    733.36/1,010.88 = 470.92/x
  3. Step 3: Cross multiply
    733.36x = 1,010.88 × 470.92
  4. Step 4: Simplify right side
    733.36x = 476,043.61
  5. Step 5: Solve for x
    x = 476,043.61/733.36
  6. Step 6: Final answer
    x = 649.13

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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.