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Finding the Fourth Proportional to 1,156.79, 1,733.92 and 453.80

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Solution

The fourth proportional to 1,156.79, 1,733.92 and 453.80 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.79 : 1,733.92 = 453.80 : x
  2. Step 2: Convert to fraction form
    1,156.79/1,733.92 = 453.80/x
  3. Step 3: Cross multiply
    1,156.79x = 1,733.92 × 453.80
  4. Step 4: Simplify right side
    1,156.79x = 786,856.10
  5. Step 5: Solve for x
    x = 786,856.10/1,156.79
  6. Step 6: Final answer
    x = 680.21

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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.