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Finding the Fourth Proportional to 566.51, 781.82 and 380.31

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Solution

The fourth proportional to 566.51, 781.82 and 380.31 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.51 : 781.82 = 380.31 : x
  2. Step 2: Convert to fraction form
    566.51/781.82 = 380.31/x
  3. Step 3: Cross multiply
    566.51x = 781.82 × 380.31
  4. Step 4: Simplify right side
    566.51x = 297,328.15
  5. Step 5: Solve for x
    x = 297,328.15/566.51
  6. Step 6: Final answer
    x = 524.85

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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.