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Finding the Fourth Proportional to 1,040.78, 1,560.54 and 577.46

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Solution

The fourth proportional to 1,040.78, 1,560.54 and 577.46 is: 865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.78 : 1,560.54 = 577.46 : x
  2. Step 2: Convert to fraction form
    1,040.78/1,560.54 = 577.46/x
  3. Step 3: Cross multiply
    1,040.78x = 1,560.54 × 577.46
  4. Step 4: Simplify right side
    1,040.78x = 901,149.43
  5. Step 5: Solve for x
    x = 901,149.43/1,040.78
  6. Step 6: Final answer
    x = 865.84

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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.