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Finding the Fourth Proportional to 652.71, 894.90 and 641.01

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Solution

The fourth proportional to 652.71, 894.90 and 641.01 is: 878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.71 : 894.90 = 641.01 : x
  2. Step 2: Convert to fraction form
    652.71/894.90 = 641.01/x
  3. Step 3: Cross multiply
    652.71x = 894.90 × 641.01
  4. Step 4: Simplify right side
    652.71x = 573,642.00
  5. Step 5: Solve for x
    x = 573,642.00/652.71
  6. Step 6: Final answer
    x = 878.86

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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.