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Finding the Fourth Proportional to 949.41, 1,309.82 and 595.13

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Solution

The fourth proportional to 949.41, 1,309.82 and 595.13 is: 821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.41 : 1,309.82 = 595.13 : x
  2. Step 2: Convert to fraction form
    949.41/1,309.82 = 595.13/x
  3. Step 3: Cross multiply
    949.41x = 1,309.82 × 595.13
  4. Step 4: Simplify right side
    949.41x = 779,503.65
  5. Step 5: Solve for x
    x = 779,503.65/949.41
  6. Step 6: Final answer
    x = 821.04

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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.