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Finding the Fourth Proportional to 582.78, 805.36 and 442.78

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Solution

The fourth proportional to 582.78, 805.36 and 442.78 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 805.36 = 442.78 : x
  2. Step 2: Convert to fraction form
    582.78/805.36 = 442.78/x
  3. Step 3: Cross multiply
    582.78x = 805.36 × 442.78
  4. Step 4: Simplify right side
    582.78x = 356,597.30
  5. Step 5: Solve for x
    x = 356,597.30/582.78
  6. Step 6: Final answer
    x = 611.89

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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.