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Finding the Fourth Proportional to 824.21, 1,136.45 and 657.89

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Solution

The fourth proportional to 824.21, 1,136.45 and 657.89 is: 907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.21 : 1,136.45 = 657.89 : x
  2. Step 2: Convert to fraction form
    824.21/1,136.45 = 657.89/x
  3. Step 3: Cross multiply
    824.21x = 1,136.45 × 657.89
  4. Step 4: Simplify right side
    824.21x = 747,655.80
  5. Step 5: Solve for x
    x = 747,655.80/824.21
  6. Step 6: Final answer
    x = 907.12

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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.