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Finding the Fourth Proportional to 972.39, 1,341.08 and 622.47

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Solution

The fourth proportional to 972.39, 1,341.08 and 622.47 is: 858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.39 : 1,341.08 = 622.47 : x
  2. Step 2: Convert to fraction form
    972.39/1,341.08 = 622.47/x
  3. Step 3: Cross multiply
    972.39x = 1,341.08 × 622.47
  4. Step 4: Simplify right side
    972.39x = 834,778.96
  5. Step 5: Solve for x
    x = 834,778.96/972.39
  6. Step 6: Final answer
    x = 858.48

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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.