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Finding the Fourth Proportional to 1,393.08, 2,089.95 and 405.92

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Solution

The fourth proportional to 1,393.08, 2,089.95 and 405.92 is: 608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.08 : 2,089.95 = 405.92 : x
  2. Step 2: Convert to fraction form
    1,393.08/2,089.95 = 405.92/x
  3. Step 3: Cross multiply
    1,393.08x = 2,089.95 × 405.92
  4. Step 4: Simplify right side
    1,393.08x = 848,356.21
  5. Step 5: Solve for x
    x = 848,356.21/1,393.08
  6. Step 6: Final answer
    x = 608.98

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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.