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Finding the Fourth Proportional to 1,270.32, 1,903.08 and 962.52

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Solution

The fourth proportional to 1,270.32, 1,903.08 and 962.52 is: 1,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.32 : 1,903.08 = 962.52 : x
  2. Step 2: Convert to fraction form
    1,270.32/1,903.08 = 962.52/x
  3. Step 3: Cross multiply
    1,270.32x = 1,903.08 × 962.52
  4. Step 4: Simplify right side
    1,270.32x = 1,831,752.56
  5. Step 5: Solve for x
    x = 1,831,752.56/1,270.32
  6. Step 6: Final answer
    x = 1,441.96

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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.