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Finding the Fourth Proportional to 732.88, 1,010.12 and 585.04

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Solution

The fourth proportional to 732.88, 1,010.12 and 585.04 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.88 : 1,010.12 = 585.04 : x
  2. Step 2: Convert to fraction form
    732.88/1,010.12 = 585.04/x
  3. Step 3: Cross multiply
    732.88x = 1,010.12 × 585.04
  4. Step 4: Simplify right side
    732.88x = 590,960.60
  5. Step 5: Solve for x
    x = 590,960.60/732.88
  6. Step 6: Final answer
    x = 806.35

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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.