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Finding the Fourth Proportional to 934.35, 1,400.09 and 500.19

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Solution

The fourth proportional to 934.35, 1,400.09 and 500.19 is: 749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.35 : 1,400.09 = 500.19 : x
  2. Step 2: Convert to fraction form
    934.35/1,400.09 = 500.19/x
  3. Step 3: Cross multiply
    934.35x = 1,400.09 × 500.19
  4. Step 4: Simplify right side
    934.35x = 700,308.52
  5. Step 5: Solve for x
    x = 700,308.52/934.35
  6. Step 6: Final answer
    x = 749.51

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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.