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Finding the Fourth Proportional to 955.53, 1,315.98 and 921.78

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Solution

The fourth proportional to 955.53, 1,315.98 and 921.78 is: 1,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.53 : 1,315.98 = 921.78 : x
  2. Step 2: Convert to fraction form
    955.53/1,315.98 = 921.78/x
  3. Step 3: Cross multiply
    955.53x = 1,315.98 × 921.78
  4. Step 4: Simplify right side
    955.53x = 1,213,044.04
  5. Step 5: Solve for x
    x = 1,213,044.04/955.53
  6. Step 6: Final answer
    x = 1,269.50

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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.