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Finding the Fourth Proportional to 570.73, 782.47 and 560.35

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Solution

The fourth proportional to 570.73, 782.47 and 560.35 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.73 : 782.47 = 560.35 : x
  2. Step 2: Convert to fraction form
    570.73/782.47 = 560.35/x
  3. Step 3: Cross multiply
    570.73x = 782.47 × 560.35
  4. Step 4: Simplify right side
    570.73x = 438,453.71
  5. Step 5: Solve for x
    x = 438,453.71/570.73
  6. Step 6: Final answer
    x = 768.24

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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.