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Finding the Fourth Proportional to 476.61, 710.00 and 446.73

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Solution

The fourth proportional to 476.61, 710.00 and 446.73 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.61 : 710.00 = 446.73 : x
  2. Step 2: Convert to fraction form
    476.61/710.00 = 446.73/x
  3. Step 3: Cross multiply
    476.61x = 710.00 × 446.73
  4. Step 4: Simplify right side
    476.61x = 317,176.07
  5. Step 5: Solve for x
    x = 317,176.07/476.61
  6. Step 6: Final answer
    x = 665.48

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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.