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Finding the Fourth Proportional to 506.57, 698.74 and 309.74

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Solution

The fourth proportional to 506.57, 698.74 and 309.74 is: 427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 698.74 = 309.74 : x
  2. Step 2: Convert to fraction form
    506.57/698.74 = 309.74/x
  3. Step 3: Cross multiply
    506.57x = 698.74 × 309.74
  4. Step 4: Simplify right side
    506.57x = 216,424.23
  5. Step 5: Solve for x
    x = 216,424.23/506.57
  6. Step 6: Final answer
    x = 427.24

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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.