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Finding the Fourth Proportional to 1,125.05, 1,686.69 and 508.41

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Solution

The fourth proportional to 1,125.05, 1,686.69 and 508.41 is: 762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.05 : 1,686.69 = 508.41 : x
  2. Step 2: Convert to fraction form
    1,125.05/1,686.69 = 508.41/x
  3. Step 3: Cross multiply
    1,125.05x = 1,686.69 × 508.41
  4. Step 4: Simplify right side
    1,125.05x = 857,530.06
  5. Step 5: Solve for x
    x = 857,530.06/1,125.05
  6. Step 6: Final answer
    x = 762.22

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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.