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Finding the Fourth Proportional to 761.43, 1,143.90 and 601.05

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Solution

The fourth proportional to 761.43, 1,143.90 and 601.05 is: 902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.43 : 1,143.90 = 601.05 : x
  2. Step 2: Convert to fraction form
    761.43/1,143.90 = 601.05/x
  3. Step 3: Cross multiply
    761.43x = 1,143.90 × 601.05
  4. Step 4: Simplify right side
    761.43x = 687,541.10
  5. Step 5: Solve for x
    x = 687,541.10/761.43
  6. Step 6: Final answer
    x = 902.96

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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.