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Finding the Fourth Proportional to 802.71, 1,201.77 and 751.68

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Solution

The fourth proportional to 802.71, 1,201.77 and 751.68 is: 1,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.71 : 1,201.77 = 751.68 : x
  2. Step 2: Convert to fraction form
    802.71/1,201.77 = 751.68/x
  3. Step 3: Cross multiply
    802.71x = 1,201.77 × 751.68
  4. Step 4: Simplify right side
    802.71x = 903,346.47
  5. Step 5: Solve for x
    x = 903,346.47/802.71
  6. Step 6: Final answer
    x = 1,125.37

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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.