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Finding the Fourth Proportional to 922.16, 1,381.80 and 488.72

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Solution

The fourth proportional to 922.16, 1,381.80 and 488.72 is: 732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.16 : 1,381.80 = 488.72 : x
  2. Step 2: Convert to fraction form
    922.16/1,381.80 = 488.72/x
  3. Step 3: Cross multiply
    922.16x = 1,381.80 × 488.72
  4. Step 4: Simplify right side
    922.16x = 675,313.30
  5. Step 5: Solve for x
    x = 675,313.30/922.16
  6. Step 6: Final answer
    x = 732.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.