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Finding the Fourth Proportional to 795.76, 1,192.86 and 405.58

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Solution

The fourth proportional to 795.76, 1,192.86 and 405.58 is: 607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.76 : 1,192.86 = 405.58 : x
  2. Step 2: Convert to fraction form
    795.76/1,192.86 = 405.58/x
  3. Step 3: Cross multiply
    795.76x = 1,192.86 × 405.58
  4. Step 4: Simplify right side
    795.76x = 483,800.16
  5. Step 5: Solve for x
    x = 483,800.16/795.76
  6. Step 6: Final answer
    x = 607.97

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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.