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Finding the Fourth Proportional to 750.12, 1,129.16 and 577.72

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Solution

The fourth proportional to 750.12, 1,129.16 and 577.72 is: 869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.12 : 1,129.16 = 577.72 : x
  2. Step 2: Convert to fraction form
    750.12/1,129.16 = 577.72/x
  3. Step 3: Cross multiply
    750.12x = 1,129.16 × 577.72
  4. Step 4: Simplify right side
    750.12x = 652,338.32
  5. Step 5: Solve for x
    x = 652,338.32/750.12
  6. Step 6: Final answer
    x = 869.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.