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Finding the Fourth Proportional to 585.59, 882.43 and 485.12

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Solution

The fourth proportional to 585.59, 882.43 and 485.12 is: 731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.59 : 882.43 = 485.12 : x
  2. Step 2: Convert to fraction form
    585.59/882.43 = 485.12/x
  3. Step 3: Cross multiply
    585.59x = 882.43 × 485.12
  4. Step 4: Simplify right side
    585.59x = 428,082.02
  5. Step 5: Solve for x
    x = 428,082.02/585.59
  6. Step 6: Final answer
    x = 731.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.