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Finding the Fourth Proportional to 647.87, 969.98 and 582.26

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Solution

The fourth proportional to 647.87, 969.98 and 582.26 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.87 : 969.98 = 582.26 : x
  2. Step 2: Convert to fraction form
    647.87/969.98 = 582.26/x
  3. Step 3: Cross multiply
    647.87x = 969.98 × 582.26
  4. Step 4: Simplify right side
    647.87x = 564,772.79
  5. Step 5: Solve for x
    x = 564,772.79/647.87
  6. Step 6: Final answer
    x = 871.74

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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.