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Finding the Fourth Proportional to 478.04, 659.03 and 320.40

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Solution

The fourth proportional to 478.04, 659.03 and 320.40 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 659.03 = 320.40 : x
  2. Step 2: Convert to fraction form
    478.04/659.03 = 320.40/x
  3. Step 3: Cross multiply
    478.04x = 659.03 × 320.40
  4. Step 4: Simplify right side
    478.04x = 211,154.01
  5. Step 5: Solve for x
    x = 211,154.01/478.04
  6. Step 6: Final answer
    x = 441.71

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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.