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Finding the Fourth Proportional to 652.87, 900.97 and 400.79

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Solution

The fourth proportional to 652.87, 900.97 and 400.79 is: 553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.87 : 900.97 = 400.79 : x
  2. Step 2: Convert to fraction form
    652.87/900.97 = 400.79/x
  3. Step 3: Cross multiply
    652.87x = 900.97 × 400.79
  4. Step 4: Simplify right side
    652.87x = 361,094.26
  5. Step 5: Solve for x
    x = 361,094.26/652.87
  6. Step 6: Final answer
    x = 553.09

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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.