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Finding the Fourth Proportional to 795.78, 1,192.95 and 471.42

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Solution

The fourth proportional to 795.78, 1,192.95 and 471.42 is: 706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,192.95 = 471.42 : x
  2. Step 2: Convert to fraction form
    795.78/1,192.95 = 471.42/x
  3. Step 3: Cross multiply
    795.78x = 1,192.95 × 471.42
  4. Step 4: Simplify right side
    795.78x = 562,380.49
  5. Step 5: Solve for x
    x = 562,380.49/795.78
  6. Step 6: Final answer
    x = 706.70

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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.