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Finding the Fourth Proportional to 570.98, 782.81 and 560.60

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Solution

The fourth proportional to 570.98, 782.81 and 560.60 is: 768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.98 : 782.81 = 560.60 : x
  2. Step 2: Convert to fraction form
    570.98/782.81 = 560.60/x
  3. Step 3: Cross multiply
    570.98x = 782.81 × 560.60
  4. Step 4: Simplify right side
    570.98x = 438,843.29
  5. Step 5: Solve for x
    x = 438,843.29/570.98
  6. Step 6: Final answer
    x = 768.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.