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Finding the Fourth Proportional to 517.78, 710.26 and 506.98

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Solution

The fourth proportional to 517.78, 710.26 and 506.98 is: 695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 710.26 = 506.98 : x
  2. Step 2: Convert to fraction form
    517.78/710.26 = 506.98/x
  3. Step 3: Cross multiply
    517.78x = 710.26 × 506.98
  4. Step 4: Simplify right side
    517.78x = 360,087.61
  5. Step 5: Solve for x
    x = 360,087.61/517.78
  6. Step 6: Final answer
    x = 695.45

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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.