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Finding the Fourth Proportional to 652.10, 899.87 and 386.53

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Solution

The fourth proportional to 652.10, 899.87 and 386.53 is: 533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.10 : 899.87 = 386.53 : x
  2. Step 2: Convert to fraction form
    652.10/899.87 = 386.53/x
  3. Step 3: Cross multiply
    652.10x = 899.87 × 386.53
  4. Step 4: Simplify right side
    652.10x = 347,822.57
  5. Step 5: Solve for x
    x = 347,822.57/652.10
  6. Step 6: Final answer
    x = 533.39

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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.