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Finding the Fourth Proportional to 914.44, 1,369.31 and 503.12

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Solution

The fourth proportional to 914.44, 1,369.31 and 503.12 is: 753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.44 : 1,369.31 = 503.12 : x
  2. Step 2: Convert to fraction form
    914.44/1,369.31 = 503.12/x
  3. Step 3: Cross multiply
    914.44x = 1,369.31 × 503.12
  4. Step 4: Simplify right side
    914.44x = 688,928.55
  5. Step 5: Solve for x
    x = 688,928.55/914.44
  6. Step 6: Final answer
    x = 753.39

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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.