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Finding the Fourth Proportional to 646.86, 967.74 and 499.47

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Solution

The fourth proportional to 646.86, 967.74 and 499.47 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.86 : 967.74 = 499.47 : x
  2. Step 2: Convert to fraction form
    646.86/967.74 = 499.47/x
  3. Step 3: Cross multiply
    646.86x = 967.74 × 499.47
  4. Step 4: Simplify right side
    646.86x = 483,352.26
  5. Step 5: Solve for x
    x = 483,352.26/646.86
  6. Step 6: Final answer
    x = 747.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.