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Finding the Fourth Proportional to 1,202.28, 1,802.69 and 470.98

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Solution

The fourth proportional to 1,202.28, 1,802.69 and 470.98 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.28 : 1,802.69 = 470.98 : x
  2. Step 2: Convert to fraction form
    1,202.28/1,802.69 = 470.98/x
  3. Step 3: Cross multiply
    1,202.28x = 1,802.69 × 470.98
  4. Step 4: Simplify right side
    1,202.28x = 849,030.94
  5. Step 5: Solve for x
    x = 849,030.94/1,202.28
  6. Step 6: Final answer
    x = 706.18

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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.