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Finding the Fourth Proportional to 1,569.78, 2,354.65 and 399.78

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Solution

The fourth proportional to 1,569.78, 2,354.65 and 399.78 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.78 : 2,354.65 = 399.78 : x
  2. Step 2: Convert to fraction form
    1,569.78/2,354.65 = 399.78/x
  3. Step 3: Cross multiply
    1,569.78x = 2,354.65 × 399.78
  4. Step 4: Simplify right side
    1,569.78x = 941,341.98
  5. Step 5: Solve for x
    x = 941,341.98/1,569.78
  6. Step 6: Final answer
    x = 599.66

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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.