Home / 1,102.36-1,521.25-598.21

Finding the Fourth Proportional to 1,102.36, 1,521.25 and 598.21

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Solution

The fourth proportional to 1,102.36, 1,521.25 and 598.21 is: 825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.36 : 1,521.25 = 598.21 : x
  2. Step 2: Convert to fraction form
    1,102.36/1,521.25 = 598.21/x
  3. Step 3: Cross multiply
    1,102.36x = 1,521.25 × 598.21
  4. Step 4: Simplify right side
    1,102.36x = 910,023.31
  5. Step 5: Solve for x
    x = 910,023.31/1,102.36
  6. Step 6: Final answer
    x = 825.52

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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.