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Finding the Fourth Proportional to 656.10, 984.69 and 509.49

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Solution

The fourth proportional to 656.10, 984.69 and 509.49 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.10 : 984.69 = 509.49 : x
  2. Step 2: Convert to fraction form
    656.10/984.69 = 509.49/x
  3. Step 3: Cross multiply
    656.10x = 984.69 × 509.49
  4. Step 4: Simplify right side
    656.10x = 501,689.71
  5. Step 5: Solve for x
    x = 501,689.71/656.10
  6. Step 6: Final answer
    x = 764.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.