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Finding the Fourth Proportional to 585.40, 882.14 and 484.95

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Solution

The fourth proportional to 585.40, 882.14 and 484.95 is: 730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 882.14 = 484.95 : x
  2. Step 2: Convert to fraction form
    585.40/882.14 = 484.95/x
  3. Step 3: Cross multiply
    585.40x = 882.14 × 484.95
  4. Step 4: Simplify right side
    585.40x = 427,793.79
  5. Step 5: Solve for x
    x = 427,793.79/585.40
  6. Step 6: Final answer
    x = 730.77

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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.