Home / 1,032.10-1,546.80-415.30

Finding the Fourth Proportional to 1,032.10, 1,546.80 and 415.30

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Solution

The fourth proportional to 1,032.10, 1,546.80 and 415.30 is: 622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.10 : 1,546.80 = 415.30 : x
  2. Step 2: Convert to fraction form
    1,032.10/1,546.80 = 415.30/x
  3. Step 3: Cross multiply
    1,032.10x = 1,546.80 × 415.30
  4. Step 4: Simplify right side
    1,032.10x = 642,386.04
  5. Step 5: Solve for x
    x = 642,386.04/1,032.10
  6. Step 6: Final answer
    x = 622.41

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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.