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Finding the Fourth Proportional to 885.85, 1,222.29 and 492.79

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Solution

The fourth proportional to 885.85, 1,222.29 and 492.79 is: 679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.85 : 1,222.29 = 492.79 : x
  2. Step 2: Convert to fraction form
    885.85/1,222.29 = 492.79/x
  3. Step 3: Cross multiply
    885.85x = 1,222.29 × 492.79
  4. Step 4: Simplify right side
    885.85x = 602,332.29
  5. Step 5: Solve for x
    x = 602,332.29/885.85
  6. Step 6: Final answer
    x = 679.95

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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.