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Finding the Fourth Proportional to 1,142.42, 1,713.78 and 320.76

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Solution

The fourth proportional to 1,142.42, 1,713.78 and 320.76 is: 481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.42 : 1,713.78 = 320.76 : x
  2. Step 2: Convert to fraction form
    1,142.42/1,713.78 = 320.76/x
  3. Step 3: Cross multiply
    1,142.42x = 1,713.78 × 320.76
  4. Step 4: Simplify right side
    1,142.42x = 549,710.95
  5. Step 5: Solve for x
    x = 549,710.95/1,142.42
  6. Step 6: Final answer
    x = 481.18

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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.