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Finding the Fourth Proportional to 646.07, 890.07 and 449.24

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Solution

The fourth proportional to 646.07, 890.07 and 449.24 is: 618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.07 : 890.07 = 449.24 : x
  2. Step 2: Convert to fraction form
    646.07/890.07 = 449.24/x
  3. Step 3: Cross multiply
    646.07x = 890.07 × 449.24
  4. Step 4: Simplify right side
    646.07x = 399,855.05
  5. Step 5: Solve for x
    x = 399,855.05/646.07
  6. Step 6: Final answer
    x = 618.90

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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.