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Finding the Fourth Proportional to 538.79, 806.99 and 316.13

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Solution

The fourth proportional to 538.79, 806.99 and 316.13 is: 473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.79 : 806.99 = 316.13 : x
  2. Step 2: Convert to fraction form
    538.79/806.99 = 316.13/x
  3. Step 3: Cross multiply
    538.79x = 806.99 × 316.13
  4. Step 4: Simplify right side
    538.79x = 255,108.13
  5. Step 5: Solve for x
    x = 255,108.13/538.79
  6. Step 6: Final answer
    x = 473.49

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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.