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Finding the Fourth Proportional to 647.57, 969.45 and 494.07

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Solution

The fourth proportional to 647.57, 969.45 and 494.07 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.57 : 969.45 = 494.07 : x
  2. Step 2: Convert to fraction form
    647.57/969.45 = 494.07/x
  3. Step 3: Cross multiply
    647.57x = 969.45 × 494.07
  4. Step 4: Simplify right side
    647.57x = 478,976.16
  5. Step 5: Solve for x
    x = 478,976.16/647.57
  6. Step 6: Final answer
    x = 739.66

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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.