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Finding the Fourth Proportional to 802.52, 1,200.60 and 638.50

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Solution

The fourth proportional to 802.52, 1,200.60 and 638.50 is: 955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.52 : 1,200.60 = 638.50 : x
  2. Step 2: Convert to fraction form
    802.52/1,200.60 = 638.50/x
  3. Step 3: Cross multiply
    802.52x = 1,200.60 × 638.50
  4. Step 4: Simplify right side
    802.52x = 766,583.10
  5. Step 5: Solve for x
    x = 766,583.10/802.52
  6. Step 6: Final answer
    x = 955.22

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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.