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Finding the Fourth Proportional to 949.45, 1,309.72 and 576.57

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Solution

The fourth proportional to 949.45, 1,309.72 and 576.57 is: 795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.45 : 1,309.72 = 576.57 : x
  2. Step 2: Convert to fraction form
    949.45/1,309.72 = 576.57/x
  3. Step 3: Cross multiply
    949.45x = 1,309.72 × 576.57
  4. Step 4: Simplify right side
    949.45x = 755,145.26
  5. Step 5: Solve for x
    x = 755,145.26/949.45
  6. Step 6: Final answer
    x = 795.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.