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Finding the Fourth Proportional to 649.35, 970.00 and 584.24

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Solution

The fourth proportional to 649.35, 970.00 and 584.24 is: 872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 970.00 = 584.24 : x
  2. Step 2: Convert to fraction form
    649.35/970.00 = 584.24/x
  3. Step 3: Cross multiply
    649.35x = 970.00 × 584.24
  4. Step 4: Simplify right side
    649.35x = 566,706.49
  5. Step 5: Solve for x
    x = 566,706.49/649.35
  6. Step 6: Final answer
    x = 872.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.