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Finding the Fourth Proportional to 566.71, 781.77 and 380.24

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Solution

The fourth proportional to 566.71, 781.77 and 380.24 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 781.77 = 380.24 : x
  2. Step 2: Convert to fraction form
    566.71/781.77 = 380.24/x
  3. Step 3: Cross multiply
    566.71x = 781.77 × 380.24
  4. Step 4: Simplify right side
    566.71x = 297,260.22
  5. Step 5: Solve for x
    x = 297,260.22/566.71
  6. Step 6: Final answer
    x = 524.54

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1.5x scale

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.