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Finding the Fourth Proportional to 652.01, 899.78 and 357.29

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Solution

The fourth proportional to 652.01, 899.78 and 357.29 is: 493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 899.78 = 357.29 : x
  2. Step 2: Convert to fraction form
    652.01/899.78 = 357.29/x
  3. Step 3: Cross multiply
    652.01x = 899.78 × 357.29
  4. Step 4: Simplify right side
    652.01x = 321,480.61
  5. Step 5: Solve for x
    x = 321,480.61/652.01
  6. Step 6: Final answer
    x = 493.06

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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.