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Finding the Fourth Proportional to 472.80, 709.20 and 289.60

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Solution

The fourth proportional to 472.80, 709.20 and 289.60 is: 434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.80 : 709.20 = 289.60 : x
  2. Step 2: Convert to fraction form
    472.80/709.20 = 289.60/x
  3. Step 3: Cross multiply
    472.80x = 709.20 × 289.60
  4. Step 4: Simplify right side
    472.80x = 205,384.32
  5. Step 5: Solve for x
    x = 205,384.32/472.80
  6. Step 6: Final answer
    x = 434.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.