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Finding the Fourth Proportional to 501.28, 686.99 and 494.84

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Solution

The fourth proportional to 501.28, 686.99 and 494.84 is: 678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.28 : 686.99 = 494.84 : x
  2. Step 2: Convert to fraction form
    501.28/686.99 = 494.84/x
  3. Step 3: Cross multiply
    501.28x = 686.99 × 494.84
  4. Step 4: Simplify right side
    501.28x = 339,950.13
  5. Step 5: Solve for x
    x = 339,950.13/501.28
  6. Step 6: Final answer
    x = 678.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.