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Finding the Fourth Proportional to 564.80, 848.01 and 318.49

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Solution

The fourth proportional to 564.80, 848.01 and 318.49 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 848.01 = 318.49 : x
  2. Step 2: Convert to fraction form
    564.80/848.01 = 318.49/x
  3. Step 3: Cross multiply
    564.80x = 848.01 × 318.49
  4. Step 4: Simplify right side
    564.80x = 270,081.18
  5. Step 5: Solve for x
    x = 270,081.18/564.80
  6. Step 6: Final answer
    x = 478.19

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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.