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Finding the Fourth Proportional to 649.68, 975.01 and 476.79

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Solution

The fourth proportional to 649.68, 975.01 and 476.79 is: 715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.68 : 975.01 = 476.79 : x
  2. Step 2: Convert to fraction form
    649.68/975.01 = 476.79/x
  3. Step 3: Cross multiply
    649.68x = 975.01 × 476.79
  4. Step 4: Simplify right side
    649.68x = 464,875.02
  5. Step 5: Solve for x
    x = 464,875.02/649.68
  6. Step 6: Final answer
    x = 715.54

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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.