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Finding the Fourth Proportional to 832.66, 1,148.68 and 538.02

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Solution

The fourth proportional to 832.66, 1,148.68 and 538.02 is: 742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.66 : 1,148.68 = 538.02 : x
  2. Step 2: Convert to fraction form
    832.66/1,148.68 = 538.02/x
  3. Step 3: Cross multiply
    832.66x = 1,148.68 × 538.02
  4. Step 4: Simplify right side
    832.66x = 618,012.81
  5. Step 5: Solve for x
    x = 618,012.81/832.66
  6. Step 6: Final answer
    x = 742.22

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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.