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Finding the Fourth Proportional to 792.16, 1,186.37 and 400.93

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Solution

The fourth proportional to 792.16, 1,186.37 and 400.93 is: 600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.16 : 1,186.37 = 400.93 : x
  2. Step 2: Convert to fraction form
    792.16/1,186.37 = 400.93/x
  3. Step 3: Cross multiply
    792.16x = 1,186.37 × 400.93
  4. Step 4: Simplify right side
    792.16x = 475,647.86
  5. Step 5: Solve for x
    x = 475,647.86/792.16
  6. Step 6: Final answer
    x = 600.45

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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.