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Finding the Fourth Proportional to 1,135.71, 1,703.46 and 313.92

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Solution

The fourth proportional to 1,135.71, 1,703.46 and 313.92 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.71 : 1,703.46 = 313.92 : x
  2. Step 2: Convert to fraction form
    1,135.71/1,703.46 = 313.92/x
  3. Step 3: Cross multiply
    1,135.71x = 1,703.46 × 313.92
  4. Step 4: Simplify right side
    1,135.71x = 534,750.16
  5. Step 5: Solve for x
    x = 534,750.16/1,135.71
  6. Step 6: Final answer
    x = 470.85

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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.