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Finding the Fourth Proportional to 975.16, 1,344.90 and 800.20

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Solution

The fourth proportional to 975.16, 1,344.90 and 800.20 is: 1,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.16 : 1,344.90 = 800.20 : x
  2. Step 2: Convert to fraction form
    975.16/1,344.90 = 800.20/x
  3. Step 3: Cross multiply
    975.16x = 1,344.90 × 800.20
  4. Step 4: Simplify right side
    975.16x = 1,076,188.98
  5. Step 5: Solve for x
    x = 1,076,188.98/975.16
  6. Step 6: Final answer
    x = 1,103.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.