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Finding the Fourth Proportional to 1,664.54, 2,297.17 and 956.61

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Solution

The fourth proportional to 1,664.54, 2,297.17 and 956.61 is: 1,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.54 : 2,297.17 = 956.61 : x
  2. Step 2: Convert to fraction form
    1,664.54/2,297.17 = 956.61/x
  3. Step 3: Cross multiply
    1,664.54x = 2,297.17 × 956.61
  4. Step 4: Simplify right side
    1,664.54x = 2,197,495.79
  5. Step 5: Solve for x
    x = 2,197,495.79/1,664.54
  6. Step 6: Final answer
    x = 1,320.18

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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.