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Finding the Fourth Proportional to 566.40, 781.44 and 359.52

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Solution

The fourth proportional to 566.40, 781.44 and 359.52 is: 496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 781.44 = 359.52 : x
  2. Step 2: Convert to fraction form
    566.40/781.44 = 359.52/x
  3. Step 3: Cross multiply
    566.40x = 781.44 × 359.52
  4. Step 4: Simplify right side
    566.40x = 280,943.31
  5. Step 5: Solve for x
    x = 280,943.31/566.40
  6. Step 6: Final answer
    x = 496.02

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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.