Home / 1,032.16-1,548.84-415.92

Finding the Fourth Proportional to 1,032.16, 1,548.84 and 415.92

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Solution

The fourth proportional to 1,032.16, 1,548.84 and 415.92 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.16 : 1,548.84 = 415.92 : x
  2. Step 2: Convert to fraction form
    1,032.16/1,548.84 = 415.92/x
  3. Step 3: Cross multiply
    1,032.16x = 1,548.84 × 415.92
  4. Step 4: Simplify right side
    1,032.16x = 644,193.53
  5. Step 5: Solve for x
    x = 644,193.53/1,032.16
  6. Step 6: Final answer
    x = 624.12

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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.