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Finding the Fourth Proportional to 499.95, 753.95 and 496.71

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Solution

The fourth proportional to 499.95, 753.95 and 496.71 is: 749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.95 : 753.95 = 496.71 : x
  2. Step 2: Convert to fraction form
    499.95/753.95 = 496.71/x
  3. Step 3: Cross multiply
    499.95x = 753.95 × 496.71
  4. Step 4: Simplify right side
    499.95x = 374,492.02
  5. Step 5: Solve for x
    x = 374,492.02/499.95
  6. Step 6: Final answer
    x = 749.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.