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Finding the Fourth Proportional to 853.72, 1,176.78 and 646.36

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Solution

The fourth proportional to 853.72, 1,176.78 and 646.36 is: 890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.72 : 1,176.78 = 646.36 : x
  2. Step 2: Convert to fraction form
    853.72/1,176.78 = 646.36/x
  3. Step 3: Cross multiply
    853.72x = 1,176.78 × 646.36
  4. Step 4: Simplify right side
    853.72x = 760,623.52
  5. Step 5: Solve for x
    x = 760,623.52/853.72
  6. Step 6: Final answer
    x = 890.95

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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.