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Finding the Fourth Proportional to 865.05, 1,192.50 and 688.07

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Solution

The fourth proportional to 865.05, 1,192.50 and 688.07 is: 948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.05 : 1,192.50 = 688.07 : x
  2. Step 2: Convert to fraction form
    865.05/1,192.50 = 688.07/x
  3. Step 3: Cross multiply
    865.05x = 1,192.50 × 688.07
  4. Step 4: Simplify right side
    865.05x = 820,526.46
  5. Step 5: Solve for x
    x = 820,526.46/865.05
  6. Step 6: Final answer
    x = 948.53

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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.