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Finding the Fourth Proportional to 884.38, 1,219.53 and 619.06

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Solution

The fourth proportional to 884.38, 1,219.53 and 619.06 is: 853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.38 : 1,219.53 = 619.06 : x
  2. Step 2: Convert to fraction form
    884.38/1,219.53 = 619.06/x
  3. Step 3: Cross multiply
    884.38x = 1,219.53 × 619.06
  4. Step 4: Simplify right side
    884.38x = 754,962.24
  5. Step 5: Solve for x
    x = 754,962.24/884.38
  6. Step 6: Final answer
    x = 853.66

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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.