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Finding the Fourth Proportional to 937.51, 1,411.86 and 817.22

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Solution

The fourth proportional to 937.51, 1,411.86 and 817.22 is: 1,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.51 : 1,411.86 = 817.22 : x
  2. Step 2: Convert to fraction form
    937.51/1,411.86 = 817.22/x
  3. Step 3: Cross multiply
    937.51x = 1,411.86 × 817.22
  4. Step 4: Simplify right side
    937.51x = 1,153,806.82
  5. Step 5: Solve for x
    x = 1,153,806.82/937.51
  6. Step 6: Final answer
    x = 1,230.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.