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Finding the Fourth Proportional to 647.14, 969.63 and 509.98

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Solution

The fourth proportional to 647.14, 969.63 and 509.98 is: 764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 969.63 = 509.98 : x
  2. Step 2: Convert to fraction form
    647.14/969.63 = 509.98/x
  3. Step 3: Cross multiply
    647.14x = 969.63 × 509.98
  4. Step 4: Simplify right side
    647.14x = 494,491.91
  5. Step 5: Solve for x
    x = 494,491.91/647.14
  6. Step 6: Final answer
    x = 764.12

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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.