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Finding the Fourth Proportional to 857.76, 1,280.94 and 748.32

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Solution

The fourth proportional to 857.76, 1,280.94 and 748.32 is: 1,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,280.94 = 748.32 : x
  2. Step 2: Convert to fraction form
    857.76/1,280.94 = 748.32/x
  3. Step 3: Cross multiply
    857.76x = 1,280.94 × 748.32
  4. Step 4: Simplify right side
    857.76x = 958,553.02
  5. Step 5: Solve for x
    x = 958,553.02/857.76
  6. Step 6: Final answer
    x = 1,117.51

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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.