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Finding the Fourth Proportional to 459.08, 631.68 and 448.14

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Solution

The fourth proportional to 459.08, 631.68 and 448.14 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.08 : 631.68 = 448.14 : x
  2. Step 2: Convert to fraction form
    459.08/631.68 = 448.14/x
  3. Step 3: Cross multiply
    459.08x = 631.68 × 448.14
  4. Step 4: Simplify right side
    459.08x = 283,081.76
  5. Step 5: Solve for x
    x = 283,081.76/459.08
  6. Step 6: Final answer
    x = 616.63

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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.