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Finding the Fourth Proportional to 756.32, 1,043.73 and 420.25

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Solution

The fourth proportional to 756.32, 1,043.73 and 420.25 is: 579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.32 : 1,043.73 = 420.25 : x
  2. Step 2: Convert to fraction form
    756.32/1,043.73 = 420.25/x
  3. Step 3: Cross multiply
    756.32x = 1,043.73 × 420.25
  4. Step 4: Simplify right side
    756.32x = 438,627.53
  5. Step 5: Solve for x
    x = 438,627.53/756.32
  6. Step 6: Final answer
    x = 579.95

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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.