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Finding the Fourth Proportional to 795.61, 1,192.93 and 356.78

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Solution

The fourth proportional to 795.61, 1,192.93 and 356.78 is: 534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,192.93 = 356.78 : x
  2. Step 2: Convert to fraction form
    795.61/1,192.93 = 356.78/x
  3. Step 3: Cross multiply
    795.61x = 1,192.93 × 356.78
  4. Step 4: Simplify right side
    795.61x = 425,611.48
  5. Step 5: Solve for x
    x = 425,611.48/795.61
  6. Step 6: Final answer
    x = 534.95

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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.