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Finding the Fourth Proportional to 560.20, 772.60 and 339.08

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Solution

The fourth proportional to 560.20, 772.60 and 339.08 is: 467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 772.60 = 339.08 : x
  2. Step 2: Convert to fraction form
    560.20/772.60 = 339.08/x
  3. Step 3: Cross multiply
    560.20x = 772.60 × 339.08
  4. Step 4: Simplify right side
    560.20x = 261,973.21
  5. Step 5: Solve for x
    x = 261,973.21/560.20
  6. Step 6: Final answer
    x = 467.64

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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.