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Finding the Fourth Proportional to 1,062.60, 1,593.72 and 293.10

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Solution

The fourth proportional to 1,062.60, 1,593.72 and 293.10 is: 439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.60 : 1,593.72 = 293.10 : x
  2. Step 2: Convert to fraction form
    1,062.60/1,593.72 = 293.10/x
  3. Step 3: Cross multiply
    1,062.60x = 1,593.72 × 293.10
  4. Step 4: Simplify right side
    1,062.60x = 467,119.33
  5. Step 5: Solve for x
    x = 467,119.33/1,062.60
  6. Step 6: Final answer
    x = 439.60

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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.