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Finding the Fourth Proportional to 922.32, 1,272.12 and 687.07

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Solution

The fourth proportional to 922.32, 1,272.12 and 687.07 is: 947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.32 : 1,272.12 = 687.07 : x
  2. Step 2: Convert to fraction form
    922.32/1,272.12 = 687.07/x
  3. Step 3: Cross multiply
    922.32x = 1,272.12 × 687.07
  4. Step 4: Simplify right side
    922.32x = 874,035.49
  5. Step 5: Solve for x
    x = 874,035.49/922.32
  6. Step 6: Final answer
    x = 947.65

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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.