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Finding the Fourth Proportional to 885.63, 1,222.12 and 531.76

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Solution

The fourth proportional to 885.63, 1,222.12 and 531.76 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.63 : 1,222.12 = 531.76 : x
  2. Step 2: Convert to fraction form
    885.63/1,222.12 = 531.76/x
  3. Step 3: Cross multiply
    885.63x = 1,222.12 × 531.76
  4. Step 4: Simplify right side
    885.63x = 649,872.81
  5. Step 5: Solve for x
    x = 649,872.81/885.63
  6. Step 6: Final answer
    x = 733.80

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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.