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Finding the Fourth Proportional to 802.04, 1,201.50 and 527.30

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Solution

The fourth proportional to 802.04, 1,201.50 and 527.30 is: 789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,201.50 = 527.30 : x
  2. Step 2: Convert to fraction form
    802.04/1,201.50 = 527.30/x
  3. Step 3: Cross multiply
    802.04x = 1,201.50 × 527.30
  4. Step 4: Simplify right side
    802.04x = 633,550.95
  5. Step 5: Solve for x
    x = 633,550.95/802.04
  6. Step 6: Final answer
    x = 789.92

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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.