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Finding the Fourth Proportional to 1,029.45, 1,544.33 and 335.95

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Solution

The fourth proportional to 1,029.45, 1,544.33 and 335.95 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.45 : 1,544.33 = 335.95 : x
  2. Step 2: Convert to fraction form
    1,029.45/1,544.33 = 335.95/x
  3. Step 3: Cross multiply
    1,029.45x = 1,544.33 × 335.95
  4. Step 4: Simplify right side
    1,029.45x = 518,808.26
  5. Step 5: Solve for x
    x = 518,808.26/1,029.45
  6. Step 6: Final answer
    x = 503.97

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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.