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Finding the Fourth Proportional to 566.05, 781.15 and 317.37

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Solution

The fourth proportional to 566.05, 781.15 and 317.37 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.05 : 781.15 = 317.37 : x
  2. Step 2: Convert to fraction form
    566.05/781.15 = 317.37/x
  3. Step 3: Cross multiply
    566.05x = 781.15 × 317.37
  4. Step 4: Simplify right side
    566.05x = 247,913.58
  5. Step 5: Solve for x
    x = 247,913.58/566.05
  6. Step 6: Final answer
    x = 437.97

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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.