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Finding the Fourth Proportional to 649.57, 978.02 and 573.02

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Solution

The fourth proportional to 649.57, 978.02 and 573.02 is: 862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.57 : 978.02 = 573.02 : x
  2. Step 2: Convert to fraction form
    649.57/978.02 = 573.02/x
  3. Step 3: Cross multiply
    649.57x = 978.02 × 573.02
  4. Step 4: Simplify right side
    649.57x = 560,425.02
  5. Step 5: Solve for x
    x = 560,425.02/649.57
  6. Step 6: Final answer
    x = 862.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.