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Finding the Fourth Proportional to 1,139.86, 1,709.80 and 318.16

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Solution

The fourth proportional to 1,139.86, 1,709.80 and 318.16 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.86 : 1,709.80 = 318.16 : x
  2. Step 2: Convert to fraction form
    1,139.86/1,709.80 = 318.16/x
  3. Step 3: Cross multiply
    1,139.86x = 1,709.80 × 318.16
  4. Step 4: Simplify right side
    1,139.86x = 543,989.97
  5. Step 5: Solve for x
    x = 543,989.97/1,139.86
  6. Step 6: Final answer
    x = 477.24

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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.