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Finding the Fourth Proportional to 527.83, 790.05 and 342.83

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Solution

The fourth proportional to 527.83, 790.05 and 342.83 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.83 : 790.05 = 342.83 : x
  2. Step 2: Convert to fraction form
    527.83/790.05 = 342.83/x
  3. Step 3: Cross multiply
    527.83x = 790.05 × 342.83
  4. Step 4: Simplify right side
    527.83x = 270,852.84
  5. Step 5: Solve for x
    x = 270,852.84/527.83
  6. Step 6: Final answer
    x = 513.14

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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.