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Finding the Fourth Proportional to 1,005.81, 1,509.28 and 543.57

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Solution

The fourth proportional to 1,005.81, 1,509.28 and 543.57 is: 815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.81 : 1,509.28 = 543.57 : x
  2. Step 2: Convert to fraction form
    1,005.81/1,509.28 = 543.57/x
  3. Step 3: Cross multiply
    1,005.81x = 1,509.28 × 543.57
  4. Step 4: Simplify right side
    1,005.81x = 820,399.33
  5. Step 5: Solve for x
    x = 820,399.33/1,005.81
  6. Step 6: Final answer
    x = 815.66

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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.