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Finding the Fourth Proportional to 506.95, 698.34 and 424.03

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Solution

The fourth proportional to 506.95, 698.34 and 424.03 is: 584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.95 : 698.34 = 424.03 : x
  2. Step 2: Convert to fraction form
    506.95/698.34 = 424.03/x
  3. Step 3: Cross multiply
    506.95x = 698.34 × 424.03
  4. Step 4: Simplify right side
    506.95x = 296,117.11
  5. Step 5: Solve for x
    x = 296,117.11/506.95
  6. Step 6: Final answer
    x = 584.12

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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.