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Finding the Fourth Proportional to 832.14, 1,148.40 and 459.20

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Solution

The fourth proportional to 832.14, 1,148.40 and 459.20 is: 633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,148.40 = 459.20 : x
  2. Step 2: Convert to fraction form
    832.14/1,148.40 = 459.20/x
  3. Step 3: Cross multiply
    832.14x = 1,148.40 × 459.20
  4. Step 4: Simplify right side
    832.14x = 527,345.28
  5. Step 5: Solve for x
    x = 527,345.28/832.14
  6. Step 6: Final answer
    x = 633.72

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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.