Home / 1,029.03-1,543.62-326.40

Finding the Fourth Proportional to 1,029.03, 1,543.62 and 326.40

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Solution

The fourth proportional to 1,029.03, 1,543.62 and 326.40 is: 489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.03 : 1,543.62 = 326.40 : x
  2. Step 2: Convert to fraction form
    1,029.03/1,543.62 = 326.40/x
  3. Step 3: Cross multiply
    1,029.03x = 1,543.62 × 326.40
  4. Step 4: Simplify right side
    1,029.03x = 503,837.57
  5. Step 5: Solve for x
    x = 503,837.57/1,029.03
  6. Step 6: Final answer
    x = 489.62

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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.