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Finding the Fourth Proportional to 582.42, 803.75 and 442.67

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Solution

The fourth proportional to 582.42, 803.75 and 442.67 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.42 : 803.75 = 442.67 : x
  2. Step 2: Convert to fraction form
    582.42/803.75 = 442.67/x
  3. Step 3: Cross multiply
    582.42x = 803.75 × 442.67
  4. Step 4: Simplify right side
    582.42x = 355,789.78
  5. Step 5: Solve for x
    x = 355,789.78/582.42
  6. Step 6: Final answer
    x = 610.88

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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.