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Finding the Fourth Proportional to 782.40, 1,173.60 and 697.35

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Solution

The fourth proportional to 782.40, 1,173.60 and 697.35 is: 1,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,173.60 = 697.35 : x
  2. Step 2: Convert to fraction form
    782.40/1,173.60 = 697.35/x
  3. Step 3: Cross multiply
    782.40x = 1,173.60 × 697.35
  4. Step 4: Simplify right side
    782.40x = 818,409.96
  5. Step 5: Solve for x
    x = 818,409.96/782.40
  6. Step 6: Final answer
    x = 1,046.03

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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.