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Finding the Fourth Proportional to 560.80, 774.66 and 449.02

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Solution

The fourth proportional to 560.80, 774.66 and 449.02 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.80 : 774.66 = 449.02 : x
  2. Step 2: Convert to fraction form
    560.80/774.66 = 449.02/x
  3. Step 3: Cross multiply
    560.80x = 774.66 × 449.02
  4. Step 4: Simplify right side
    560.80x = 347,837.83
  5. Step 5: Solve for x
    x = 347,837.83/560.80
  6. Step 6: Final answer
    x = 620.25

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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.