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Finding the Fourth Proportional to 652.01, 899.81 and 386.53

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Solution

The fourth proportional to 652.01, 899.81 and 386.53 is: 533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 899.81 = 386.53 : x
  2. Step 2: Convert to fraction form
    652.01/899.81 = 386.53/x
  3. Step 3: Cross multiply
    652.01x = 899.81 × 386.53
  4. Step 4: Simplify right side
    652.01x = 347,799.38
  5. Step 5: Solve for x
    x = 347,799.38/652.01
  6. Step 6: Final answer
    x = 533.43

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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.