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Finding the Fourth Proportional to 652.79, 900.97 and 613.22

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Solution

The fourth proportional to 652.79, 900.97 and 613.22 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.79 : 900.97 = 613.22 : x
  2. Step 2: Convert to fraction form
    652.79/900.97 = 613.22/x
  3. Step 3: Cross multiply
    652.79x = 900.97 × 613.22
  4. Step 4: Simplify right side
    652.79x = 552,486.79
  5. Step 5: Solve for x
    x = 552,486.79/652.79
  6. Step 6: Final answer
    x = 846.34

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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.