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Finding the Fourth Proportional to 571, 792.19 and 565.60

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Solution

The fourth proportional to 571, 792.19 and 565.60 is: 784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    571 : 792.19 = 565.60 : x
  2. Step 2: Convert to fraction form
    571/792.19 = 565.60/x
  3. Step 3: Cross multiply
    571x = 792.19 × 565.60
  4. Step 4: Simplify right side
    571x = 448,062.66
  5. Step 5: Solve for x
    x = 448,062.66/571
  6. Step 6: Final answer
    x = 784.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.