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Finding the Fourth Proportional to 897.25, 1,238.14 and 504.34

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Solution

The fourth proportional to 897.25, 1,238.14 and 504.34 is: 695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.25 : 1,238.14 = 504.34 : x
  2. Step 2: Convert to fraction form
    897.25/1,238.14 = 504.34/x
  3. Step 3: Cross multiply
    897.25x = 1,238.14 × 504.34
  4. Step 4: Simplify right side
    897.25x = 624,443.53
  5. Step 5: Solve for x
    x = 624,443.53/897.25
  6. Step 6: Final answer
    x = 695.95

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1.5x scale

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.