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Finding the Fourth Proportional to 473.24, 653.13 and 286.85

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Solution

The fourth proportional to 473.24, 653.13 and 286.85 is: 395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 653.13 = 286.85 : x
  2. Step 2: Convert to fraction form
    473.24/653.13 = 286.85/x
  3. Step 3: Cross multiply
    473.24x = 653.13 × 286.85
  4. Step 4: Simplify right side
    473.24x = 187,347.07
  5. Step 5: Solve for x
    x = 187,347.07/473.24
  6. Step 6: Final answer
    x = 395.89

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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.