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Finding the Fourth Proportional to 1,025.80, 1,416.32 and 633.32

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Solution

The fourth proportional to 1,025.80, 1,416.32 and 633.32 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,416.32 = 633.32 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,416.32 = 633.32/x
  3. Step 3: Cross multiply
    1,025.80x = 1,416.32 × 633.32
  4. Step 4: Simplify right side
    1,025.80x = 896,983.78
  5. Step 5: Solve for x
    x = 896,983.78/1,025.80
  6. Step 6: Final answer
    x = 874.42

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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.