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Finding the Fourth Proportional to 1,270.34, 1,752.60 and 897.95

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Solution

The fourth proportional to 1,270.34, 1,752.60 and 897.95 is: 1,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.34 : 1,752.60 = 897.95 : x
  2. Step 2: Convert to fraction form
    1,270.34/1,752.60 = 897.95/x
  3. Step 3: Cross multiply
    1,270.34x = 1,752.60 × 897.95
  4. Step 4: Simplify right side
    1,270.34x = 1,573,747.17
  5. Step 5: Solve for x
    x = 1,573,747.17/1,270.34
  6. Step 6: Final answer
    x = 1,238.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.