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Finding the Fourth Proportional to 582.76, 877.59 and 421.57

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Solution

The fourth proportional to 582.76, 877.59 and 421.57 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 877.59 = 421.57 : x
  2. Step 2: Convert to fraction form
    582.76/877.59 = 421.57/x
  3. Step 3: Cross multiply
    582.76x = 877.59 × 421.57
  4. Step 4: Simplify right side
    582.76x = 369,965.62
  5. Step 5: Solve for x
    x = 369,965.62/582.76
  6. Step 6: Final answer
    x = 634.85

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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.