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Finding the Fourth Proportional to 823.77, 1,136.13 and 544.05

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Solution

The fourth proportional to 823.77, 1,136.13 and 544.05 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.77 : 1,136.13 = 544.05 : x
  2. Step 2: Convert to fraction form
    823.77/1,136.13 = 544.05/x
  3. Step 3: Cross multiply
    823.77x = 1,136.13 × 544.05
  4. Step 4: Simplify right side
    823.77x = 618,111.53
  5. Step 5: Solve for x
    x = 618,111.53/823.77
  6. Step 6: Final answer
    x = 750.34

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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.