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Finding the Fourth Proportional to 467.40, 704.64 and 436.08

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Solution

The fourth proportional to 467.40, 704.64 and 436.08 is: 657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.40 : 704.64 = 436.08 : x
  2. Step 2: Convert to fraction form
    467.40/704.64 = 436.08/x
  3. Step 3: Cross multiply
    467.40x = 704.64 × 436.08
  4. Step 4: Simplify right side
    467.40x = 307,279.41
  5. Step 5: Solve for x
    x = 307,279.41/467.40
  6. Step 6: Final answer
    x = 657.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.