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Finding the Fourth Proportional to 1,569.80, 2,354.69 and 415.55

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Solution

The fourth proportional to 1,569.80, 2,354.69 and 415.55 is: 623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.80 : 2,354.69 = 415.55 : x
  2. Step 2: Convert to fraction form
    1,569.80/2,354.69 = 415.55/x
  3. Step 3: Cross multiply
    1,569.80x = 2,354.69 × 415.55
  4. Step 4: Simplify right side
    1,569.80x = 978,491.43
  5. Step 5: Solve for x
    x = 978,491.43/1,569.80
  6. Step 6: Final answer
    x = 623.32

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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.