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Finding the Fourth Proportional to 560.48, 772.78 and 511.16

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Solution

The fourth proportional to 560.48, 772.78 and 511.16 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.48 : 772.78 = 511.16 : x
  2. Step 2: Convert to fraction form
    560.48/772.78 = 511.16/x
  3. Step 3: Cross multiply
    560.48x = 772.78 × 511.16
  4. Step 4: Simplify right side
    560.48x = 395,014.22
  5. Step 5: Solve for x
    x = 395,014.22/560.48
  6. Step 6: Final answer
    x = 704.78

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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.