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Finding the Fourth Proportional to 459.78, 631.01 and 412.08

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Solution

The fourth proportional to 459.78, 631.01 and 412.08 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.78 : 631.01 = 412.08 : x
  2. Step 2: Convert to fraction form
    459.78/631.01 = 412.08/x
  3. Step 3: Cross multiply
    459.78x = 631.01 × 412.08
  4. Step 4: Simplify right side
    459.78x = 260,024.54
  5. Step 5: Solve for x
    x = 260,024.54/459.78
  6. Step 6: Final answer
    x = 565.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.