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Finding the Fourth Proportional to 794.94, 1,192.74 and 429.30

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Solution

The fourth proportional to 794.94, 1,192.74 and 429.30 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.94 : 1,192.74 = 429.30 : x
  2. Step 2: Convert to fraction form
    794.94/1,192.74 = 429.30/x
  3. Step 3: Cross multiply
    794.94x = 1,192.74 × 429.30
  4. Step 4: Simplify right side
    794.94x = 512,043.28
  5. Step 5: Solve for x
    x = 512,043.28/794.94
  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.