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Finding the Fourth Proportional to 585.90, 882.88 and 485.46

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Solution

The fourth proportional to 585.90, 882.88 and 485.46 is: 731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 882.88 = 485.46 : x
  2. Step 2: Convert to fraction form
    585.90/882.88 = 485.46/x
  3. Step 3: Cross multiply
    585.90x = 882.88 × 485.46
  4. Step 4: Simplify right side
    585.90x = 428,602.92
  5. Step 5: Solve for x
    x = 428,602.92/585.90
  6. Step 6: Final answer
    x = 731.53

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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.