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Finding the Fourth Proportional to 610.40, 913.98 and 537.50

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Solution

The fourth proportional to 610.40, 913.98 and 537.50 is: 804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.40 : 913.98 = 537.50 : x
  2. Step 2: Convert to fraction form
    610.40/913.98 = 537.50/x
  3. Step 3: Cross multiply
    610.40x = 913.98 × 537.50
  4. Step 4: Simplify right side
    610.40x = 491,264.25
  5. Step 5: Solve for x
    x = 491,264.25/610.40
  6. Step 6: Final answer
    x = 804.82

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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.