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Finding the Fourth Proportional to 761.93, 1,143.08 and 299.59

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Solution

The fourth proportional to 761.93, 1,143.08 and 299.59 is: 449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.93 : 1,143.08 = 299.59 : x
  2. Step 2: Convert to fraction form
    761.93/1,143.08 = 299.59/x
  3. Step 3: Cross multiply
    761.93x = 1,143.08 × 299.59
  4. Step 4: Simplify right side
    761.93x = 342,455.34
  5. Step 5: Solve for x
    x = 342,455.34/761.93
  6. Step 6: Final answer
    x = 449.46

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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.