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Finding the Fourth Proportional to 909.64, 1,365.10 and 361.84

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Solution

The fourth proportional to 909.64, 1,365.10 and 361.84 is: 543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.64 : 1,365.10 = 361.84 : x
  2. Step 2: Convert to fraction form
    909.64/1,365.10 = 361.84/x
  3. Step 3: Cross multiply
    909.64x = 1,365.10 × 361.84
  4. Step 4: Simplify right side
    909.64x = 493,947.78
  5. Step 5: Solve for x
    x = 493,947.78/909.64
  6. Step 6: Final answer
    x = 543.01

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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.