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Finding the Fourth Proportional to 1,323.86, 1,985.47 and 399.47

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Solution

The fourth proportional to 1,323.86, 1,985.47 and 399.47 is: 599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.86 : 1,985.47 = 399.47 : x
  2. Step 2: Convert to fraction form
    1,323.86/1,985.47 = 399.47/x
  3. Step 3: Cross multiply
    1,323.86x = 1,985.47 × 399.47
  4. Step 4: Simplify right side
    1,323.86x = 793,135.70
  5. Step 5: Solve for x
    x = 793,135.70/1,323.86
  6. Step 6: Final answer
    x = 599.11

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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.