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Finding the Fourth Proportional to 922.95, 1,383.51 and 429.87

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Solution

The fourth proportional to 922.95, 1,383.51 and 429.87 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.95 : 1,383.51 = 429.87 : x
  2. Step 2: Convert to fraction form
    922.95/1,383.51 = 429.87/x
  3. Step 3: Cross multiply
    922.95x = 1,383.51 × 429.87
  4. Step 4: Simplify right side
    922.95x = 594,729.44
  5. Step 5: Solve for x
    x = 594,729.44/922.95
  6. Step 6: Final answer
    x = 644.38

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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.