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Finding the Fourth Proportional to 885.91, 1,222.57 and 492.96

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Solution

The fourth proportional to 885.91, 1,222.57 and 492.96 is: 680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.91 : 1,222.57 = 492.96 : x
  2. Step 2: Convert to fraction form
    885.91/1,222.57 = 492.96/x
  3. Step 3: Cross multiply
    885.91x = 1,222.57 × 492.96
  4. Step 4: Simplify right side
    885.91x = 602,674.14
  5. Step 5: Solve for x
    x = 602,674.14/885.91
  6. Step 6: Final answer
    x = 680.29

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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.