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Finding the Fourth Proportional to 652.44, 900.35 and 357.71

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Solution

The fourth proportional to 652.44, 900.35 and 357.71 is: 493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 900.35 = 357.71 : x
  2. Step 2: Convert to fraction form
    652.44/900.35 = 357.71/x
  3. Step 3: Cross multiply
    652.44x = 900.35 × 357.71
  4. Step 4: Simplify right side
    652.44x = 322,064.20
  5. Step 5: Solve for x
    x = 322,064.20/652.44
  6. Step 6: Final answer
    x = 493.63

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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.