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Finding the Fourth Proportional to 922.85, 1,389.49 and 813.86

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Solution

The fourth proportional to 922.85, 1,389.49 and 813.86 is: 1,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.85 : 1,389.49 = 813.86 : x
  2. Step 2: Convert to fraction form
    922.85/1,389.49 = 813.86/x
  3. Step 3: Cross multiply
    922.85x = 1,389.49 × 813.86
  4. Step 4: Simplify right side
    922.85x = 1,130,846.80
  5. Step 5: Solve for x
    x = 1,130,846.80/922.85
  6. Step 6: Final answer
    x = 1,225.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.