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Finding the Fourth Proportional to 652.29, 899.81 and 547.49

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Solution

The fourth proportional to 652.29, 899.81 and 547.49 is: 755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.29 : 899.81 = 547.49 : x
  2. Step 2: Convert to fraction form
    652.29/899.81 = 547.49/x
  3. Step 3: Cross multiply
    652.29x = 899.81 × 547.49
  4. Step 4: Simplify right side
    652.29x = 492,638.54
  5. Step 5: Solve for x
    x = 492,638.54/652.29
  6. Step 6: Final answer
    x = 755.25

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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.