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Finding the Fourth Proportional to 1,124.83, 1,554.17 and 809.47

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Solution

The fourth proportional to 1,124.83, 1,554.17 and 809.47 is: 1,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.83 : 1,554.17 = 809.47 : x
  2. Step 2: Convert to fraction form
    1,124.83/1,554.17 = 809.47/x
  3. Step 3: Cross multiply
    1,124.83x = 1,554.17 × 809.47
  4. Step 4: Simplify right side
    1,124.83x = 1,258,053.99
  5. Step 5: Solve for x
    x = 1,258,053.99/1,124.83
  6. Step 6: Final answer
    x = 1,118.44

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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.