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Finding the Fourth Proportional to 922.66, 1,384.34 and 429.31

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Solution

The fourth proportional to 922.66, 1,384.34 and 429.31 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.66 : 1,384.34 = 429.31 : x
  2. Step 2: Convert to fraction form
    922.66/1,384.34 = 429.31/x
  3. Step 3: Cross multiply
    922.66x = 1,384.34 × 429.31
  4. Step 4: Simplify right side
    922.66x = 594,311.01
  5. Step 5: Solve for x
    x = 594,311.01/922.66
  6. Step 6: Final answer
    x = 644.13

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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.