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Finding the Fourth Proportional to 1,242.99, 1,864.46 and 502.58

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Solution

The fourth proportional to 1,242.99, 1,864.46 and 502.58 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.99 : 1,864.46 = 502.58 : x
  2. Step 2: Convert to fraction form
    1,242.99/1,864.46 = 502.58/x
  3. Step 3: Cross multiply
    1,242.99x = 1,864.46 × 502.58
  4. Step 4: Simplify right side
    1,242.99x = 937,028.47
  5. Step 5: Solve for x
    x = 937,028.47/1,242.99
  6. Step 6: Final answer
    x = 753.85

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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.