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Finding the Fourth Proportional to 1,270.17, 1,905.57 and 904.05

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Solution

The fourth proportional to 1,270.17, 1,905.57 and 904.05 is: 1,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.17 : 1,905.57 = 904.05 : x
  2. Step 2: Convert to fraction form
    1,270.17/1,905.57 = 904.05/x
  3. Step 3: Cross multiply
    1,270.17x = 1,905.57 × 904.05
  4. Step 4: Simplify right side
    1,270.17x = 1,722,730.56
  5. Step 5: Solve for x
    x = 1,722,730.56/1,270.17
  6. Step 6: Final answer
    x = 1,356.30

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1.5x scale

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.