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Finding the Fourth Proportional to 917.69, 1,376.07 and 301.32

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Solution

The fourth proportional to 917.69, 1,376.07 and 301.32 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.69 : 1,376.07 = 301.32 : x
  2. Step 2: Convert to fraction form
    917.69/1,376.07 = 301.32/x
  3. Step 3: Cross multiply
    917.69x = 1,376.07 × 301.32
  4. Step 4: Simplify right side
    917.69x = 414,637.41
  5. Step 5: Solve for x
    x = 414,637.41/917.69
  6. Step 6: Final answer
    x = 451.83

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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.