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Finding the Fourth Proportional to 649.96, 975.02 and 476.84

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Solution

The fourth proportional to 649.96, 975.02 and 476.84 is: 715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 975.02 = 476.84 : x
  2. Step 2: Convert to fraction form
    649.96/975.02 = 476.84/x
  3. Step 3: Cross multiply
    649.96x = 975.02 × 476.84
  4. Step 4: Simplify right side
    649.96x = 464,928.54
  5. Step 5: Solve for x
    x = 464,928.54/649.96
  6. Step 6: Final answer
    x = 715.32

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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.