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Finding the Fourth Proportional to 1,124.24, 1,685.63 and 539.23

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Solution

The fourth proportional to 1,124.24, 1,685.63 and 539.23 is: 808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.24 : 1,685.63 = 539.23 : x
  2. Step 2: Convert to fraction form
    1,124.24/1,685.63 = 539.23/x
  3. Step 3: Cross multiply
    1,124.24x = 1,685.63 × 539.23
  4. Step 4: Simplify right side
    1,124.24x = 908,937.38
  5. Step 5: Solve for x
    x = 908,937.38/1,124.24
  6. Step 6: Final answer
    x = 808.49

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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.