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Finding the Fourth Proportional to 1,500.77, 2,255.42 and 1,017.20

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Solution

The fourth proportional to 1,500.77, 2,255.42 and 1,017.20 is: 1,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.77 : 2,255.42 = 1,017.20 : x
  2. Step 2: Convert to fraction form
    1,500.77/2,255.42 = 1,017.20/x
  3. Step 3: Cross multiply
    1,500.77x = 2,255.42 × 1,017.20
  4. Step 4: Simplify right side
    1,500.77x = 2,294,221.41
  5. Step 5: Solve for x
    x = 2,294,221.41/1,500.77
  6. Step 6: Final answer
    x = 1,528.69

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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.