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Finding the Fourth Proportional to 503.29, 749.66 and 496.99

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Solution

The fourth proportional to 503.29, 749.66 and 496.99 is: 740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.29 : 749.66 = 496.99 : x
  2. Step 2: Convert to fraction form
    503.29/749.66 = 496.99/x
  3. Step 3: Cross multiply
    503.29x = 749.66 × 496.99
  4. Step 4: Simplify right side
    503.29x = 372,573.52
  5. Step 5: Solve for x
    x = 372,573.52/503.29
  6. Step 6: Final answer
    x = 740.28

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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.