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Finding the Fourth Proportional to 853.90, 1,179.06 and 522.49

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Solution

The fourth proportional to 853.90, 1,179.06 and 522.49 is: 721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,179.06 = 522.49 : x
  2. Step 2: Convert to fraction form
    853.90/1,179.06 = 522.49/x
  3. Step 3: Cross multiply
    853.90x = 1,179.06 × 522.49
  4. Step 4: Simplify right side
    853.90x = 616,047.06
  5. Step 5: Solve for x
    x = 616,047.06/853.90
  6. Step 6: Final answer
    x = 721.45

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Double scale
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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.