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Finding the Fourth Proportional to 956.54, 1,319.28 and 823.98

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Solution

The fourth proportional to 956.54, 1,319.28 and 823.98 is: 1,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.54 : 1,319.28 = 823.98 : x
  2. Step 2: Convert to fraction form
    956.54/1,319.28 = 823.98/x
  3. Step 3: Cross multiply
    956.54x = 1,319.28 × 823.98
  4. Step 4: Simplify right side
    956.54x = 1,087,060.33
  5. Step 5: Solve for x
    x = 1,087,060.33/956.54
  6. Step 6: Final answer
    x = 1,136.45

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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.