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Finding the Fourth Proportional to 790.86, 1,091.68 and 476.38

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Solution

The fourth proportional to 790.86, 1,091.68 and 476.38 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.86 : 1,091.68 = 476.38 : x
  2. Step 2: Convert to fraction form
    790.86/1,091.68 = 476.38/x
  3. Step 3: Cross multiply
    790.86x = 1,091.68 × 476.38
  4. Step 4: Simplify right side
    790.86x = 520,054.69
  5. Step 5: Solve for x
    x = 520,054.69/790.86
  6. Step 6: Final answer
    x = 657.58

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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.