Home / 1,523.20-2,285.52-874.48

Finding the Fourth Proportional to 1,523.20, 2,285.52 and 874.48

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Solution

The fourth proportional to 1,523.20, 2,285.52 and 874.48 is: 1,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.20 : 2,285.52 = 874.48 : x
  2. Step 2: Convert to fraction form
    1,523.20/2,285.52 = 874.48/x
  3. Step 3: Cross multiply
    1,523.20x = 2,285.52 × 874.48
  4. Step 4: Simplify right side
    1,523.20x = 1,998,641.53
  5. Step 5: Solve for x
    x = 1,998,641.53/1,523.20
  6. Step 6: Final answer
    x = 1,312.13

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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.