Home / 1,297.32-1,953.61-934.66

Finding the Fourth Proportional to 1,297.32, 1,953.61 and 934.66

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Solution

The fourth proportional to 1,297.32, 1,953.61 and 934.66 is: 1,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.32 : 1,953.61 = 934.66 : x
  2. Step 2: Convert to fraction form
    1,297.32/1,953.61 = 934.66/x
  3. Step 3: Cross multiply
    1,297.32x = 1,953.61 × 934.66
  4. Step 4: Simplify right side
    1,297.32x = 1,825,961.12
  5. Step 5: Solve for x
    x = 1,825,961.12/1,297.32
  6. Step 6: Final answer
    x = 1,407.49

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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.