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Finding the Fourth Proportional to 853.92, 1,178.76 and 522.36

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Solution

The fourth proportional to 853.92, 1,178.76 and 522.36 is: 721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.92 : 1,178.76 = 522.36 : x
  2. Step 2: Convert to fraction form
    853.92/1,178.76 = 522.36/x
  3. Step 3: Cross multiply
    853.92x = 1,178.76 × 522.36
  4. Step 4: Simplify right side
    853.92x = 615,737.07
  5. Step 5: Solve for x
    x = 615,737.07/853.92
  6. Step 6: Final answer
    x = 721.07

Related Problems

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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.