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Finding the Fourth Proportional to 1,005.57, 1,508.99 and 428.45

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Solution

The fourth proportional to 1,005.57, 1,508.99 and 428.45 is: 642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.57 : 1,508.99 = 428.45 : x
  2. Step 2: Convert to fraction form
    1,005.57/1,508.99 = 428.45/x
  3. Step 3: Cross multiply
    1,005.57x = 1,508.99 × 428.45
  4. Step 4: Simplify right side
    1,005.57x = 646,517.08
  5. Step 5: Solve for x
    x = 646,517.08/1,005.57
  6. Step 6: Final answer
    x = 642.94

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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.