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Finding the Fourth Proportional to 622.65, 859.20 and 601.68

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Solution

The fourth proportional to 622.65, 859.20 and 601.68 is: 830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.65 : 859.20 = 601.68 : x
  2. Step 2: Convert to fraction form
    622.65/859.20 = 601.68/x
  3. Step 3: Cross multiply
    622.65x = 859.20 × 601.68
  4. Step 4: Simplify right side
    622.65x = 516,963.46
  5. Step 5: Solve for x
    x = 516,963.46/622.65
  6. Step 6: Final answer
    x = 830.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.