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Finding the Fourth Proportional to 552.65, 766.46 and 506.52

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Solution

The fourth proportional to 552.65, 766.46 and 506.52 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.65 : 766.46 = 506.52 : x
  2. Step 2: Convert to fraction form
    552.65/766.46 = 506.52/x
  3. Step 3: Cross multiply
    552.65x = 766.46 × 506.52
  4. Step 4: Simplify right side
    552.65x = 388,228.59
  5. Step 5: Solve for x
    x = 388,228.59/552.65
  6. Step 6: Final answer
    x = 702.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.