Home / 1,569.52-2,354.28-415.27

Finding the Fourth Proportional to 1,569.52, 2,354.28 and 415.27

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Solution

The fourth proportional to 1,569.52, 2,354.28 and 415.27 is: 622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.52 : 2,354.28 = 415.27 : x
  2. Step 2: Convert to fraction form
    1,569.52/2,354.28 = 415.27/x
  3. Step 3: Cross multiply
    1,569.52x = 2,354.28 × 415.27
  4. Step 4: Simplify right side
    1,569.52x = 977,661.86
  5. Step 5: Solve for x
    x = 977,661.86/1,569.52
  6. Step 6: Final answer
    x = 622.91

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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.