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Finding the Fourth Proportional to 1,056.54, 1,577.63 and 932.11

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Solution

The fourth proportional to 1,056.54, 1,577.63 and 932.11 is: 1,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.54 : 1,577.63 = 932.11 : x
  2. Step 2: Convert to fraction form
    1,056.54/1,577.63 = 932.11/x
  3. Step 3: Cross multiply
    1,056.54x = 1,577.63 × 932.11
  4. Step 4: Simplify right side
    1,056.54x = 1,470,517.84
  5. Step 5: Solve for x
    x = 1,470,517.84/1,056.54
  6. Step 6: Final answer
    x = 1,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.