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Finding the Fourth Proportional to 610.13, 913.88 and 506.25

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Solution

The fourth proportional to 610.13, 913.88 and 506.25 is: 758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.13 : 913.88 = 506.25 : x
  2. Step 2: Convert to fraction form
    610.13/913.88 = 506.25/x
  3. Step 3: Cross multiply
    610.13x = 913.88 × 506.25
  4. Step 4: Simplify right side
    610.13x = 462,653.02
  5. Step 5: Solve for x
    x = 462,653.02/610.13
  6. Step 6: Final answer
    x = 758.28

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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.