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Finding the Fourth Proportional to 784.02, 1,172.58 and 697.96

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Solution

The fourth proportional to 784.02, 1,172.58 and 697.96 is: 1,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,172.58 = 697.96 : x
  2. Step 2: Convert to fraction form
    784.02/1,172.58 = 697.96/x
  3. Step 3: Cross multiply
    784.02x = 1,172.58 × 697.96
  4. Step 4: Simplify right side
    784.02x = 818,413.94
  5. Step 5: Solve for x
    x = 818,413.94/784.02
  6. Step 6: Final answer
    x = 1,043.87

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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.