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Finding the Fourth Proportional to 761.19, 1,139.95 and 577.11

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Solution

The fourth proportional to 761.19, 1,139.95 and 577.11 is: 864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.19 : 1,139.95 = 577.11 : x
  2. Step 2: Convert to fraction form
    761.19/1,139.95 = 577.11/x
  3. Step 3: Cross multiply
    761.19x = 1,139.95 × 577.11
  4. Step 4: Simplify right side
    761.19x = 657,876.54
  5. Step 5: Solve for x
    x = 657,876.54/761.19
  6. Step 6: Final answer
    x = 864.27

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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.