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Finding the Fourth Proportional to 732.72, 1,010.58 and 585

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Solution

The fourth proportional to 732.72, 1,010.58 and 585 is: 806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.72 : 1,010.58 = 585 : x
  2. Step 2: Convert to fraction form
    732.72/1,010.58 = 585/x
  3. Step 3: Cross multiply
    732.72x = 1,010.58 × 585
  4. Step 4: Simplify right side
    732.72x = 591,189.30
  5. Step 5: Solve for x
    x = 591,189.30/732.72
  6. Step 6: Final answer
    x = 806.84

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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.