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Finding the Fourth Proportional to 1,785.34, 2,678.38 and 631.06

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Solution

The fourth proportional to 1,785.34, 2,678.38 and 631.06 is: 946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.34 : 2,678.38 = 631.06 : x
  2. Step 2: Convert to fraction form
    1,785.34/2,678.38 = 631.06/x
  3. Step 3: Cross multiply
    1,785.34x = 2,678.38 × 631.06
  4. Step 4: Simplify right side
    1,785.34x = 1,690,218.48
  5. Step 5: Solve for x
    x = 1,690,218.48/1,785.34
  6. Step 6: Final answer
    x = 946.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.