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Finding the Fourth Proportional to 473.31, 653.00 and 286.74

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Solution

The fourth proportional to 473.31, 653.00 and 286.74 is: 395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 653.00 = 286.74 : x
  2. Step 2: Convert to fraction form
    473.31/653.00 = 286.74/x
  3. Step 3: Cross multiply
    473.31x = 653.00 × 286.74
  4. Step 4: Simplify right side
    473.31x = 187,239.79
  5. Step 5: Solve for x
    x = 187,239.79/473.31
  6. Step 6: Final answer
    x = 395.60

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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.