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Finding the Fourth Proportional to 552.40, 760.78 and 506.30

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Solution

The fourth proportional to 552.40, 760.78 and 506.30 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 760.78 = 506.30 : x
  2. Step 2: Convert to fraction form
    552.40/760.78 = 506.30/x
  3. Step 3: Cross multiply
    552.40x = 760.78 × 506.30
  4. Step 4: Simplify right side
    552.40x = 385,182.91
  5. Step 5: Solve for x
    x = 385,182.91/552.40
  6. Step 6: Final answer
    x = 697.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.