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Finding the Fourth Proportional to 1,098.36, 1,515.34 and 678.58

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Solution

The fourth proportional to 1,098.36, 1,515.34 and 678.58 is: 936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.36 : 1,515.34 = 678.58 : x
  2. Step 2: Convert to fraction form
    1,098.36/1,515.34 = 678.58/x
  3. Step 3: Cross multiply
    1,098.36x = 1,515.34 × 678.58
  4. Step 4: Simplify right side
    1,098.36x = 1,028,276.48
  5. Step 5: Solve for x
    x = 1,028,276.48/1,098.36
  6. Step 6: Final answer
    x = 936.19

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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.