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Finding the Fourth Proportional to 793.10, 1,188.30 and 655.40

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Solution

The fourth proportional to 793.10, 1,188.30 and 655.40 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.10 : 1,188.30 = 655.40 : x
  2. Step 2: Convert to fraction form
    793.10/1,188.30 = 655.40/x
  3. Step 3: Cross multiply
    793.10x = 1,188.30 × 655.40
  4. Step 4: Simplify right side
    793.10x = 778,811.82
  5. Step 5: Solve for x
    x = 778,811.82/793.10
  6. Step 6: Final answer
    x = 981.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.