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Finding the Fourth Proportional to 762.48, 1,049.76 and 615.60

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Solution

The fourth proportional to 762.48, 1,049.76 and 615.60 is: 847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.48 : 1,049.76 = 615.60 : x
  2. Step 2: Convert to fraction form
    762.48/1,049.76 = 615.60/x
  3. Step 3: Cross multiply
    762.48x = 1,049.76 × 615.60
  4. Step 4: Simplify right side
    762.48x = 646,232.26
  5. Step 5: Solve for x
    x = 646,232.26/762.48
  6. Step 6: Final answer
    x = 847.54

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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.