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Finding the Fourth Proportional to 761.09, 1,142.37 and 513.50

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Solution

The fourth proportional to 761.09, 1,142.37 and 513.50 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.09 : 1,142.37 = 513.50 : x
  2. Step 2: Convert to fraction form
    761.09/1,142.37 = 513.50/x
  3. Step 3: Cross multiply
    761.09x = 1,142.37 × 513.50
  4. Step 4: Simplify right side
    761.09x = 586,601.28
  5. Step 5: Solve for x
    x = 586,601.28/761.09
  6. Step 6: Final answer
    x = 770.74

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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.