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Finding the Fourth Proportional to 760.19, 1,139.87 and 513.39

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Solution

The fourth proportional to 760.19, 1,139.87 and 513.39 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.19 : 1,139.87 = 513.39 : x
  2. Step 2: Convert to fraction form
    760.19/1,139.87 = 513.39/x
  3. Step 3: Cross multiply
    760.19x = 1,139.87 × 513.39
  4. Step 4: Simplify right side
    760.19x = 585,197.86
  5. Step 5: Solve for x
    x = 585,197.86/760.19
  6. Step 6: Final answer
    x = 769.80

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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.