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Finding the Fourth Proportional to 586.76, 883.62 and 425.57

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Solution

The fourth proportional to 586.76, 883.62 and 425.57 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 883.62 = 425.57 : x
  2. Step 2: Convert to fraction form
    586.76/883.62 = 425.57/x
  3. Step 3: Cross multiply
    586.76x = 883.62 × 425.57
  4. Step 4: Simplify right side
    586.76x = 376,042.16
  5. Step 5: Solve for x
    x = 376,042.16/586.76
  6. Step 6: Final answer
    x = 640.88

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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.