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Finding the Fourth Proportional to 922.70, 1,384.14 and 429

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Solution

The fourth proportional to 922.70, 1,384.14 and 429 is: 643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.70 : 1,384.14 = 429 : x
  2. Step 2: Convert to fraction form
    922.70/1,384.14 = 429/x
  3. Step 3: Cross multiply
    922.70x = 1,384.14 × 429
  4. Step 4: Simplify right side
    922.70x = 593,796.06
  5. Step 5: Solve for x
    x = 593,796.06/922.70
  6. Step 6: Final answer
    x = 643.54

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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.