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Finding the Fourth Proportional to 646.50, 889.98 and 580.88

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Solution

The fourth proportional to 646.50, 889.98 and 580.88 is: 799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.50 : 889.98 = 580.88 : x
  2. Step 2: Convert to fraction form
    646.50/889.98 = 580.88/x
  3. Step 3: Cross multiply
    646.50x = 889.98 × 580.88
  4. Step 4: Simplify right side
    646.50x = 516,971.58
  5. Step 5: Solve for x
    x = 516,971.58/646.50
  6. Step 6: Final answer
    x = 799.65

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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.