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Finding the Fourth Proportional to 1,005.20, 1,507.99 and 356.39

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Solution

The fourth proportional to 1,005.20, 1,507.99 and 356.39 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.20 : 1,507.99 = 356.39 : x
  2. Step 2: Convert to fraction form
    1,005.20/1,507.99 = 356.39/x
  3. Step 3: Cross multiply
    1,005.20x = 1,507.99 × 356.39
  4. Step 4: Simplify right side
    1,005.20x = 537,432.56
  5. Step 5: Solve for x
    x = 537,432.56/1,005.20
  6. Step 6: Final answer
    x = 534.65

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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.