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Finding the Fourth Proportional to 1,187.63, 1,780.42 and 456.71

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Solution

The fourth proportional to 1,187.63, 1,780.42 and 456.71 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.63 : 1,780.42 = 456.71 : x
  2. Step 2: Convert to fraction form
    1,187.63/1,780.42 = 456.71/x
  3. Step 3: Cross multiply
    1,187.63x = 1,780.42 × 456.71
  4. Step 4: Simplify right side
    1,187.63x = 813,125.57
  5. Step 5: Solve for x
    x = 813,125.57/1,187.63
  6. Step 6: Final answer
    x = 684.67

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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.