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Finding the Fourth Proportional to 864.45, 1,192.52 and 532.67

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Solution

The fourth proportional to 864.45, 1,192.52 and 532.67 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.45 : 1,192.52 = 532.67 : x
  2. Step 2: Convert to fraction form
    864.45/1,192.52 = 532.67/x
  3. Step 3: Cross multiply
    864.45x = 1,192.52 × 532.67
  4. Step 4: Simplify right side
    864.45x = 635,215.00
  5. Step 5: Solve for x
    x = 635,215.00/864.45
  6. Step 6: Final answer
    x = 734.82

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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.