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Finding the Fourth Proportional to 1,259.62, 1,885.96 and 950.53

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Solution

The fourth proportional to 1,259.62, 1,885.96 and 950.53 is: 1,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.62 : 1,885.96 = 950.53 : x
  2. Step 2: Convert to fraction form
    1,259.62/1,885.96 = 950.53/x
  3. Step 3: Cross multiply
    1,259.62x = 1,885.96 × 950.53
  4. Step 4: Simplify right side
    1,259.62x = 1,792,661.56
  5. Step 5: Solve for x
    x = 1,792,661.56/1,259.62
  6. Step 6: Final answer
    x = 1,423.18

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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.