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Finding the Fourth Proportional to 469.17, 702.81 and 286.92

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Solution

The fourth proportional to 469.17, 702.81 and 286.92 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.17 : 702.81 = 286.92 : x
  2. Step 2: Convert to fraction form
    469.17/702.81 = 286.92/x
  3. Step 3: Cross multiply
    469.17x = 702.81 × 286.92
  4. Step 4: Simplify right side
    469.17x = 201,650.25
  5. Step 5: Solve for x
    x = 201,650.25/469.17
  6. Step 6: Final answer
    x = 429.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.