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Finding the Fourth Proportional to 1,289.55, 1,934.45 and 365.21

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Solution

The fourth proportional to 1,289.55, 1,934.45 and 365.21 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.55 : 1,934.45 = 365.21 : x
  2. Step 2: Convert to fraction form
    1,289.55/1,934.45 = 365.21/x
  3. Step 3: Cross multiply
    1,289.55x = 1,934.45 × 365.21
  4. Step 4: Simplify right side
    1,289.55x = 706,477.61
  5. Step 5: Solve for x
    x = 706,477.61/1,289.55
  6. Step 6: Final answer
    x = 547.85

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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.