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Finding the Fourth Proportional to 802.09, 1,201.47 and 647.20

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Solution

The fourth proportional to 802.09, 1,201.47 and 647.20 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.09 : 1,201.47 = 647.20 : x
  2. Step 2: Convert to fraction form
    802.09/1,201.47 = 647.20/x
  3. Step 3: Cross multiply
    802.09x = 1,201.47 × 647.20
  4. Step 4: Simplify right side
    802.09x = 777,591.38
  5. Step 5: Solve for x
    x = 777,591.38/802.09
  6. Step 6: Final answer
    x = 969.46

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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.