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Finding the Fourth Proportional to 647.08, 969.80 and 509.58

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Solution

The fourth proportional to 647.08, 969.80 and 509.58 is: 763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.08 : 969.80 = 509.58 : x
  2. Step 2: Convert to fraction form
    647.08/969.80 = 509.58/x
  3. Step 3: Cross multiply
    647.08x = 969.80 × 509.58
  4. Step 4: Simplify right side
    647.08x = 494,190.46
  5. Step 5: Solve for x
    x = 494,190.46/647.08
  6. Step 6: Final answer
    x = 763.73

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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.