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Finding the Fourth Proportional to 1,200.99, 1,800.69 and 470.64

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Solution

The fourth proportional to 1,200.99, 1,800.69 and 470.64 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.99 : 1,800.69 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,200.99/1,800.69 = 470.64/x
  3. Step 3: Cross multiply
    1,200.99x = 1,800.69 × 470.64
  4. Step 4: Simplify right side
    1,200.99x = 847,476.74
  5. Step 5: Solve for x
    x = 847,476.74/1,200.99
  6. Step 6: Final answer
    x = 705.65

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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.