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Finding the Fourth Proportional to 758.90, 1,047.28 and 427.33

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Solution

The fourth proportional to 758.90, 1,047.28 and 427.33 is: 589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.90 : 1,047.28 = 427.33 : x
  2. Step 2: Convert to fraction form
    758.90/1,047.28 = 427.33/x
  3. Step 3: Cross multiply
    758.90x = 1,047.28 × 427.33
  4. Step 4: Simplify right side
    758.90x = 447,530.48
  5. Step 5: Solve for x
    x = 447,530.48/758.90
  6. Step 6: Final answer
    x = 589.71

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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.