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Finding the Fourth Proportional to 1,341.65, 1,853.15 and 950.42

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Solution

The fourth proportional to 1,341.65, 1,853.15 and 950.42 is: 1,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.65 : 1,853.15 = 950.42 : x
  2. Step 2: Convert to fraction form
    1,341.65/1,853.15 = 950.42/x
  3. Step 3: Cross multiply
    1,341.65x = 1,853.15 × 950.42
  4. Step 4: Simplify right side
    1,341.65x = 1,761,256.81
  5. Step 5: Solve for x
    x = 1,761,256.81/1,341.65
  6. Step 6: Final answer
    x = 1,312.76

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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.