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Finding the Fourth Proportional to 802.46, 1,201.53 and 756.39

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Solution

The fourth proportional to 802.46, 1,201.53 and 756.39 is: 1,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.46 : 1,201.53 = 756.39 : x
  2. Step 2: Convert to fraction form
    802.46/1,201.53 = 756.39/x
  3. Step 3: Cross multiply
    802.46x = 1,201.53 × 756.39
  4. Step 4: Simplify right side
    802.46x = 908,825.28
  5. Step 5: Solve for x
    x = 908,825.28/802.46
  6. Step 6: Final answer
    x = 1,132.55

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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.