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Finding the Fourth Proportional to 1,264.61, 1,746.20 and 823.25

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Solution

The fourth proportional to 1,264.61, 1,746.20 and 823.25 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.61 : 1,746.20 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,264.61/1,746.20 = 823.25/x
  3. Step 3: Cross multiply
    1,264.61x = 1,746.20 × 823.25
  4. Step 4: Simplify right side
    1,264.61x = 1,437,559.15
  5. Step 5: Solve for x
    x = 1,437,559.15/1,264.61
  6. Step 6: Final answer
    x = 1,136.76

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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.