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Finding the Fourth Proportional to 746.14, 1,029.66 and 427.17

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Solution

The fourth proportional to 746.14, 1,029.66 and 427.17 is: 589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.14 : 1,029.66 = 427.17 : x
  2. Step 2: Convert to fraction form
    746.14/1,029.66 = 427.17/x
  3. Step 3: Cross multiply
    746.14x = 1,029.66 × 427.17
  4. Step 4: Simplify right side
    746.14x = 439,839.86
  5. Step 5: Solve for x
    x = 439,839.86/746.14
  6. Step 6: Final answer
    x = 589.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.