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Finding the Fourth Proportional to 501.98, 756.84 and 498.86

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Solution

The fourth proportional to 501.98, 756.84 and 498.86 is: 752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 756.84 = 498.86 : x
  2. Step 2: Convert to fraction form
    501.98/756.84 = 498.86/x
  3. Step 3: Cross multiply
    501.98x = 756.84 × 498.86
  4. Step 4: Simplify right side
    501.98x = 377,557.20
  5. Step 5: Solve for x
    x = 377,557.20/501.98
  6. Step 6: Final answer
    x = 752.14

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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.