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Finding the Fourth Proportional to 1,025.80, 1,415.67 and 632.84

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Solution

The fourth proportional to 1,025.80, 1,415.67 and 632.84 is: 873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,415.67 = 632.84 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,415.67 = 632.84/x
  3. Step 3: Cross multiply
    1,025.80x = 1,415.67 × 632.84
  4. Step 4: Simplify right side
    1,025.80x = 895,892.60
  5. Step 5: Solve for x
    x = 895,892.60/1,025.80
  6. Step 6: Final answer
    x = 873.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.