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Finding the Fourth Proportional to 459.72, 633.60 and 406.08

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Solution

The fourth proportional to 459.72, 633.60 and 406.08 is: 559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 633.60 = 406.08 : x
  2. Step 2: Convert to fraction form
    459.72/633.60 = 406.08/x
  3. Step 3: Cross multiply
    459.72x = 633.60 × 406.08
  4. Step 4: Simplify right side
    459.72x = 257,292.29
  5. Step 5: Solve for x
    x = 257,292.29/459.72
  6. Step 6: Final answer
    x = 559.67

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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.