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Finding the Fourth Proportional to 647.12, 969.14 and 509.06

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Solution

The fourth proportional to 647.12, 969.14 and 509.06 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.12 : 969.14 = 509.06 : x
  2. Step 2: Convert to fraction form
    647.12/969.14 = 509.06/x
  3. Step 3: Cross multiply
    647.12x = 969.14 × 509.06
  4. Step 4: Simplify right side
    647.12x = 493,350.41
  5. Step 5: Solve for x
    x = 493,350.41/647.12
  6. Step 6: Final answer
    x = 762.38

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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.