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Finding the Fourth Proportional to 840.77, 1,265.95 and 743.87

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Solution

The fourth proportional to 840.77, 1,265.95 and 743.87 is: 1,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.77 : 1,265.95 = 743.87 : x
  2. Step 2: Convert to fraction form
    840.77/1,265.95 = 743.87/x
  3. Step 3: Cross multiply
    840.77x = 1,265.95 × 743.87
  4. Step 4: Simplify right side
    840.77x = 941,706.32
  5. Step 5: Solve for x
    x = 941,706.32/840.77
  6. Step 6: Final answer
    x = 1,120.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.