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Finding the Fourth Proportional to 822.88, 1,136.55 and 655.40

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Solution

The fourth proportional to 822.88, 1,136.55 and 655.40 is: 905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.88 : 1,136.55 = 655.40 : x
  2. Step 2: Convert to fraction form
    822.88/1,136.55 = 655.40/x
  3. Step 3: Cross multiply
    822.88x = 1,136.55 × 655.40
  4. Step 4: Simplify right side
    822.88x = 744,894.87
  5. Step 5: Solve for x
    x = 744,894.87/822.88
  6. Step 6: Final answer
    x = 905.23

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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.