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Finding the Fourth Proportional to 570.59, 782.49 and 546.91

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Solution

The fourth proportional to 570.59, 782.49 and 546.91 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.59 : 782.49 = 546.91 : x
  2. Step 2: Convert to fraction form
    570.59/782.49 = 546.91/x
  3. Step 3: Cross multiply
    570.59x = 782.49 × 546.91
  4. Step 4: Simplify right side
    570.59x = 427,949.65
  5. Step 5: Solve for x
    x = 427,949.65/570.59
  6. Step 6: Final answer
    x = 750.02

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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.