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Finding the Fourth Proportional to 816.86, 1,225.30 and 803.10

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Solution

The fourth proportional to 816.86, 1,225.30 and 803.10 is: 1,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.86 : 1,225.30 = 803.10 : x
  2. Step 2: Convert to fraction form
    816.86/1,225.30 = 803.10/x
  3. Step 3: Cross multiply
    816.86x = 1,225.30 × 803.10
  4. Step 4: Simplify right side
    816.86x = 984,038.43
  5. Step 5: Solve for x
    x = 984,038.43/816.86
  6. Step 6: Final answer
    x = 1,204.66

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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.