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Finding the Fourth Proportional to 582.52, 803.16 and 385.72

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Solution

The fourth proportional to 582.52, 803.16 and 385.72 is: 531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 803.16 = 385.72 : x
  2. Step 2: Convert to fraction form
    582.52/803.16 = 385.72/x
  3. Step 3: Cross multiply
    582.52x = 803.16 × 385.72
  4. Step 4: Simplify right side
    582.52x = 309,794.88
  5. Step 5: Solve for x
    x = 309,794.88/582.52
  6. Step 6: Final answer
    x = 531.82

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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.