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Finding the Fourth Proportional to 910.60, 1,362.66 and 523.96

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Solution

The fourth proportional to 910.60, 1,362.66 and 523.96 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.60 : 1,362.66 = 523.96 : x
  2. Step 2: Convert to fraction form
    910.60/1,362.66 = 523.96/x
  3. Step 3: Cross multiply
    910.60x = 1,362.66 × 523.96
  4. Step 4: Simplify right side
    910.60x = 713,979.33
  5. Step 5: Solve for x
    x = 713,979.33/910.60
  6. Step 6: Final answer
    x = 784.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.