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Finding the Fourth Proportional to 824.98, 1,136.16 and 763.42

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Solution

The fourth proportional to 824.98, 1,136.16 and 763.42 is: 1,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.98 : 1,136.16 = 763.42 : x
  2. Step 2: Convert to fraction form
    824.98/1,136.16 = 763.42/x
  3. Step 3: Cross multiply
    824.98x = 1,136.16 × 763.42
  4. Step 4: Simplify right side
    824.98x = 867,367.27
  5. Step 5: Solve for x
    x = 867,367.27/824.98
  6. Step 6: Final answer
    x = 1,051.38

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1.5x scale

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.