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Finding the Fourth Proportional to 853.74, 1,178.75 and 654.22

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Solution

The fourth proportional to 853.74, 1,178.75 and 654.22 is: 903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,178.75 = 654.22 : x
  2. Step 2: Convert to fraction form
    853.74/1,178.75 = 654.22/x
  3. Step 3: Cross multiply
    853.74x = 1,178.75 × 654.22
  4. Step 4: Simplify right side
    853.74x = 771,158.55
  5. Step 5: Solve for x
    x = 771,158.55/853.74
  6. Step 6: Final answer
    x = 903.27

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Double scale
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Similar ratio
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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.