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Finding the Fourth Proportional to 1,298.17, 1,954.87 and 935.47

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Solution

The fourth proportional to 1,298.17, 1,954.87 and 935.47 is: 1,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.17 : 1,954.87 = 935.47 : x
  2. Step 2: Convert to fraction form
    1,298.17/1,954.87 = 935.47/x
  3. Step 3: Cross multiply
    1,298.17x = 1,954.87 × 935.47
  4. Step 4: Simplify right side
    1,298.17x = 1,828,722.24
  5. Step 5: Solve for x
    x = 1,828,722.24/1,298.17
  6. Step 6: Final answer
    x = 1,408.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.