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Finding the Fourth Proportional to 922.40, 1,271.68 and 725.12

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Solution

The fourth proportional to 922.40, 1,271.68 and 725.12 is: 999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.40 : 1,271.68 = 725.12 : x
  2. Step 2: Convert to fraction form
    922.40/1,271.68 = 725.12/x
  3. Step 3: Cross multiply
    922.40x = 1,271.68 × 725.12
  4. Step 4: Simplify right side
    922.40x = 922,120.60
  5. Step 5: Solve for x
    x = 922,120.60/922.40
  6. Step 6: Final answer
    x = 999.70

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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.