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Finding the Fourth Proportional to 506.40, 698.49 and 309.66

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Solution

The fourth proportional to 506.40, 698.49 and 309.66 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 698.49 = 309.66 : x
  2. Step 2: Convert to fraction form
    506.40/698.49 = 309.66/x
  3. Step 3: Cross multiply
    506.40x = 698.49 × 309.66
  4. Step 4: Simplify right side
    506.40x = 216,294.41
  5. Step 5: Solve for x
    x = 216,294.41/506.40
  6. Step 6: Final answer
    x = 427.12

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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.