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Finding the Fourth Proportional to 775.83, 1,164.12 and 342.93

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Solution

The fourth proportional to 775.83, 1,164.12 and 342.93 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.83 : 1,164.12 = 342.93 : x
  2. Step 2: Convert to fraction form
    775.83/1,164.12 = 342.93/x
  3. Step 3: Cross multiply
    775.83x = 1,164.12 × 342.93
  4. Step 4: Simplify right side
    775.83x = 399,211.67
  5. Step 5: Solve for x
    x = 399,211.67/775.83
  6. Step 6: Final answer
    x = 514.56

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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.