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Finding the Fourth Proportional to 832.10, 1,148.36 and 459.14

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Solution

The fourth proportional to 832.10, 1,148.36 and 459.14 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.10 : 1,148.36 = 459.14 : x
  2. Step 2: Convert to fraction form
    832.10/1,148.36 = 459.14/x
  3. Step 3: Cross multiply
    832.10x = 1,148.36 × 459.14
  4. Step 4: Simplify right side
    832.10x = 527,258.01
  5. Step 5: Solve for x
    x = 527,258.01/832.10
  6. Step 6: Final answer
    x = 633.65

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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.