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Finding the Fourth Proportional to 1,532.55, 2,299.25 and 752.77

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Solution

The fourth proportional to 1,532.55, 2,299.25 and 752.77 is: 1,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.55 : 2,299.25 = 752.77 : x
  2. Step 2: Convert to fraction form
    1,532.55/2,299.25 = 752.77/x
  3. Step 3: Cross multiply
    1,532.55x = 2,299.25 × 752.77
  4. Step 4: Simplify right side
    1,532.55x = 1,730,806.42
  5. Step 5: Solve for x
    x = 1,730,806.42/1,532.55
  6. Step 6: Final answer
    x = 1,129.37

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1.5x scale

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.