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Finding the Fourth Proportional to 467.04, 643.68 and 383.88

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Solution

The fourth proportional to 467.04, 643.68 and 383.88 is: 529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 643.68 = 383.88 : x
  2. Step 2: Convert to fraction form
    467.04/643.68 = 383.88/x
  3. Step 3: Cross multiply
    467.04x = 643.68 × 383.88
  4. Step 4: Simplify right side
    467.04x = 247,095.88
  5. Step 5: Solve for x
    x = 247,095.88/467.04
  6. Step 6: Final answer
    x = 529.07

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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.