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Finding the Fourth Proportional to 1,569.63, 2,354.36 and 399.66

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Solution

The fourth proportional to 1,569.63, 2,354.36 and 399.66 is: 599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.63 : 2,354.36 = 399.66 : x
  2. Step 2: Convert to fraction form
    1,569.63/2,354.36 = 399.66/x
  3. Step 3: Cross multiply
    1,569.63x = 2,354.36 × 399.66
  4. Step 4: Simplify right side
    1,569.63x = 940,943.52
  5. Step 5: Solve for x
    x = 940,943.52/1,569.63
  6. Step 6: Final answer
    x = 599.47

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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.