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Finding the Fourth Proportional to 1,025.52, 1,534.78 and 635.77

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Solution

The fourth proportional to 1,025.52, 1,534.78 and 635.77 is: 951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.52 : 1,534.78 = 635.77 : x
  2. Step 2: Convert to fraction form
    1,025.52/1,534.78 = 635.77/x
  3. Step 3: Cross multiply
    1,025.52x = 1,534.78 × 635.77
  4. Step 4: Simplify right side
    1,025.52x = 975,767.08
  5. Step 5: Solve for x
    x = 975,767.08/1,025.52
  6. Step 6: Final answer
    x = 951.49

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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.