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Finding the Fourth Proportional to 884.48, 1,220.64 and 491.62

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Solution

The fourth proportional to 884.48, 1,220.64 and 491.62 is: 678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.48 : 1,220.64 = 491.62 : x
  2. Step 2: Convert to fraction form
    884.48/1,220.64 = 491.62/x
  3. Step 3: Cross multiply
    884.48x = 1,220.64 × 491.62
  4. Step 4: Simplify right side
    884.48x = 600,091.04
  5. Step 5: Solve for x
    x = 600,091.04/884.48
  6. Step 6: Final answer
    x = 678.47

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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.