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Finding the Fourth Proportional to 514.37, 766.67 and 497.50

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Solution

The fourth proportional to 514.37, 766.67 and 497.50 is: 741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.37 : 766.67 = 497.50 : x
  2. Step 2: Convert to fraction form
    514.37/766.67 = 497.50/x
  3. Step 3: Cross multiply
    514.37x = 766.67 × 497.50
  4. Step 4: Simplify right side
    514.37x = 381,418.33
  5. Step 5: Solve for x
    x = 381,418.33/514.37
  6. Step 6: Final answer
    x = 741.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.