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Finding the Fourth Proportional to 496.99, 686.17 and 466.01

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Solution

The fourth proportional to 496.99, 686.17 and 466.01 is: 643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.99 : 686.17 = 466.01 : x
  2. Step 2: Convert to fraction form
    496.99/686.17 = 466.01/x
  3. Step 3: Cross multiply
    496.99x = 686.17 × 466.01
  4. Step 4: Simplify right side
    496.99x = 319,762.08
  5. Step 5: Solve for x
    x = 319,762.08/496.99
  6. Step 6: Final answer
    x = 643.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.