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Finding the Fourth Proportional to 1,323.78, 1,985.71 and 502.11

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Solution

The fourth proportional to 1,323.78, 1,985.71 and 502.11 is: 753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.78 : 1,985.71 = 502.11 : x
  2. Step 2: Convert to fraction form
    1,323.78/1,985.71 = 502.11/x
  3. Step 3: Cross multiply
    1,323.78x = 1,985.71 × 502.11
  4. Step 4: Simplify right side
    1,323.78x = 997,037.54
  5. Step 5: Solve for x
    x = 997,037.54/1,323.78
  6. Step 6: Final answer
    x = 753.18

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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.