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Finding the Fourth Proportional to 922.10, 1,383.15 and 782.90

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Solution

The fourth proportional to 922.10, 1,383.15 and 782.90 is: 1,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.10 : 1,383.15 = 782.90 : x
  2. Step 2: Convert to fraction form
    922.10/1,383.15 = 782.90/x
  3. Step 3: Cross multiply
    922.10x = 1,383.15 × 782.90
  4. Step 4: Simplify right side
    922.10x = 1,082,868.14
  5. Step 5: Solve for x
    x = 1,082,868.14/922.10
  6. Step 6: Final answer
    x = 1,174.35

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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.