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Finding the Fourth Proportional to 898.04, 1,240.62 and 677

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Solution

The fourth proportional to 898.04, 1,240.62 and 677 is: 935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.04 : 1,240.62 = 677 : x
  2. Step 2: Convert to fraction form
    898.04/1,240.62 = 677/x
  3. Step 3: Cross multiply
    898.04x = 1,240.62 × 677
  4. Step 4: Simplify right side
    898.04x = 839,899.74
  5. Step 5: Solve for x
    x = 839,899.74/898.04
  6. Step 6: Final answer
    x = 935.26

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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.