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Finding the Fourth Proportional to 527.78, 790.95 and 405.44

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Solution

The fourth proportional to 527.78, 790.95 and 405.44 is: 607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 790.95 = 405.44 : x
  2. Step 2: Convert to fraction form
    527.78/790.95 = 405.44/x
  3. Step 3: Cross multiply
    527.78x = 790.95 × 405.44
  4. Step 4: Simplify right side
    527.78x = 320,678.81
  5. Step 5: Solve for x
    x = 320,678.81/527.78
  6. Step 6: Final answer
    x = 607.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.