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Finding the Fourth Proportional to 1,864.66, 2,797.01 and 631.94

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Solution

The fourth proportional to 1,864.66, 2,797.01 and 631.94 is: 947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.66 : 2,797.01 = 631.94 : x
  2. Step 2: Convert to fraction form
    1,864.66/2,797.01 = 631.94/x
  3. Step 3: Cross multiply
    1,864.66x = 2,797.01 × 631.94
  4. Step 4: Simplify right side
    1,864.66x = 1,767,542.50
  5. Step 5: Solve for x
    x = 1,767,542.50/1,864.66
  6. Step 6: Final answer
    x = 947.92

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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.