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Finding the Fourth Proportional to 570.72, 782.88 and 537.60

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Solution

The fourth proportional to 570.72, 782.88 and 537.60 is: 737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 782.88 = 537.60 : x
  2. Step 2: Convert to fraction form
    570.72/782.88 = 537.60/x
  3. Step 3: Cross multiply
    570.72x = 782.88 × 537.60
  4. Step 4: Simplify right side
    570.72x = 420,876.29
  5. Step 5: Solve for x
    x = 420,876.29/570.72
  6. Step 6: Final answer
    x = 737.45

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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.