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Finding the Fourth Proportional to 473.25, 652.98 and 286.74

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Solution

The fourth proportional to 473.25, 652.98 and 286.74 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 652.98 = 286.74 : x
  2. Step 2: Convert to fraction form
    473.25/652.98 = 286.74/x
  3. Step 3: Cross multiply
    473.25x = 652.98 × 286.74
  4. Step 4: Simplify right side
    473.25x = 187,235.49
  5. Step 5: Solve for x
    x = 187,235.49/473.25
  6. Step 6: Final answer
    x = 395.64

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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.