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Finding the Fourth Proportional to 1,144.55, 1,580.25 and 752.24

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Solution

The fourth proportional to 1,144.55, 1,580.25 and 752.24 is: 1,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.55 : 1,580.25 = 752.24 : x
  2. Step 2: Convert to fraction form
    1,144.55/1,580.25 = 752.24/x
  3. Step 3: Cross multiply
    1,144.55x = 1,580.25 × 752.24
  4. Step 4: Simplify right side
    1,144.55x = 1,188,727.26
  5. Step 5: Solve for x
    x = 1,188,727.26/1,144.55
  6. Step 6: Final answer
    x = 1,038.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.