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Finding the Fourth Proportional to 476.94, 710.64 and 455.97

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Solution

The fourth proportional to 476.94, 710.64 and 455.97 is: 679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.94 : 710.64 = 455.97 : x
  2. Step 2: Convert to fraction form
    476.94/710.64 = 455.97/x
  3. Step 3: Cross multiply
    476.94x = 710.64 × 455.97
  4. Step 4: Simplify right side
    476.94x = 324,030.52
  5. Step 5: Solve for x
    x = 324,030.52/476.94
  6. Step 6: Final answer
    x = 679.39

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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.