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Finding the Fourth Proportional to 1,306.45, 1,802.37 and 887.23

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Solution

The fourth proportional to 1,306.45, 1,802.37 and 887.23 is: 1,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.45 : 1,802.37 = 887.23 : x
  2. Step 2: Convert to fraction form
    1,306.45/1,802.37 = 887.23/x
  3. Step 3: Cross multiply
    1,306.45x = 1,802.37 × 887.23
  4. Step 4: Simplify right side
    1,306.45x = 1,599,116.74
  5. Step 5: Solve for x
    x = 1,599,116.74/1,306.45
  6. Step 6: Final answer
    x = 1,224.02

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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.