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Finding the Fourth Proportional to 1,004.95, 1,507.56 and 355.78

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Solution

The fourth proportional to 1,004.95, 1,507.56 and 355.78 is: 533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.95 : 1,507.56 = 355.78 : x
  2. Step 2: Convert to fraction form
    1,004.95/1,507.56 = 355.78/x
  3. Step 3: Cross multiply
    1,004.95x = 1,507.56 × 355.78
  4. Step 4: Simplify right side
    1,004.95x = 536,359.70
  5. Step 5: Solve for x
    x = 536,359.70/1,004.95
  6. Step 6: Final answer
    x = 533.72

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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.