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Finding the Fourth Proportional to 497.64, 686.98 and 298.57

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Solution

The fourth proportional to 497.64, 686.98 and 298.57 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 686.98 = 298.57 : x
  2. Step 2: Convert to fraction form
    497.64/686.98 = 298.57/x
  3. Step 3: Cross multiply
    497.64x = 686.98 × 298.57
  4. Step 4: Simplify right side
    497.64x = 205,109.15
  5. Step 5: Solve for x
    x = 205,109.15/497.64
  6. Step 6: Final answer
    x = 412.16

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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.