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Finding the Fourth Proportional to 582.26, 876.84 and 421.07

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Solution

The fourth proportional to 582.26, 876.84 and 421.07 is: 634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.26 : 876.84 = 421.07 : x
  2. Step 2: Convert to fraction form
    582.26/876.84 = 421.07/x
  3. Step 3: Cross multiply
    582.26x = 876.84 × 421.07
  4. Step 4: Simplify right side
    582.26x = 369,208.91
  5. Step 5: Solve for x
    x = 369,208.91/582.26
  6. Step 6: Final answer
    x = 634.10

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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.