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Finding the Fourth Proportional to 832.44, 1,148.84 and 500.81

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Solution

The fourth proportional to 832.44, 1,148.84 and 500.81 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.44 : 1,148.84 = 500.81 : x
  2. Step 2: Convert to fraction form
    832.44/1,148.84 = 500.81/x
  3. Step 3: Cross multiply
    832.44x = 1,148.84 × 500.81
  4. Step 4: Simplify right side
    832.44x = 575,354.68
  5. Step 5: Solve for x
    x = 575,354.68/832.44
  6. Step 6: Final answer
    x = 691.17

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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.