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Finding the Fourth Proportional to 622.26, 929.43 and 586.74

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Solution

The fourth proportional to 622.26, 929.43 and 586.74 is: 876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 929.43 = 586.74 : x
  2. Step 2: Convert to fraction form
    622.26/929.43 = 586.74/x
  3. Step 3: Cross multiply
    622.26x = 929.43 × 586.74
  4. Step 4: Simplify right side
    622.26x = 545,333.76
  5. Step 5: Solve for x
    x = 545,333.76/622.26
  6. Step 6: Final answer
    x = 876.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.