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Finding the Fourth Proportional to 622.42, 929.47 and 586.42

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Solution

The fourth proportional to 622.42, 929.47 and 586.42 is: 875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 929.47 = 586.42 : x
  2. Step 2: Convert to fraction form
    622.42/929.47 = 586.42/x
  3. Step 3: Cross multiply
    622.42x = 929.47 × 586.42
  4. Step 4: Simplify right side
    622.42x = 545,059.80
  5. Step 5: Solve for x
    x = 545,059.80/622.42
  6. Step 6: Final answer
    x = 875.71

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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.