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Finding the Fourth Proportional to 1,125.49, 1,689.32 and 548.77

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Solution

The fourth proportional to 1,125.49, 1,689.32 and 548.77 is: 823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.49 : 1,689.32 = 548.77 : x
  2. Step 2: Convert to fraction form
    1,125.49/1,689.32 = 548.77/x
  3. Step 3: Cross multiply
    1,125.49x = 1,689.32 × 548.77
  4. Step 4: Simplify right side
    1,125.49x = 927,048.14
  5. Step 5: Solve for x
    x = 927,048.14/1,125.49
  6. Step 6: Final answer
    x = 823.68

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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.