Home / 1,324.04-1,985.70-502.16

Finding the Fourth Proportional to 1,324.04, 1,985.70 and 502.16

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Solution

The fourth proportional to 1,324.04, 1,985.70 and 502.16 is: 753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.04 : 1,985.70 = 502.16 : x
  2. Step 2: Convert to fraction form
    1,324.04/1,985.70 = 502.16/x
  3. Step 3: Cross multiply
    1,324.04x = 1,985.70 × 502.16
  4. Step 4: Simplify right side
    1,324.04x = 997,139.11
  5. Step 5: Solve for x
    x = 997,139.11/1,324.04
  6. Step 6: Final answer
    x = 753.10

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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.