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Finding the Fourth Proportional to 832.67, 1,140.74 and 801.51

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Solution

The fourth proportional to 832.67, 1,140.74 and 801.51 is: 1,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.67 : 1,140.74 = 801.51 : x
  2. Step 2: Convert to fraction form
    832.67/1,140.74 = 801.51/x
  3. Step 3: Cross multiply
    832.67x = 1,140.74 × 801.51
  4. Step 4: Simplify right side
    832.67x = 914,308.81
  5. Step 5: Solve for x
    x = 914,308.81/832.67
  6. Step 6: Final answer
    x = 1,098.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.