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Finding the Fourth Proportional to 470.99, 706.54 and 416.66

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Solution

The fourth proportional to 470.99, 706.54 and 416.66 is: 625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.99 : 706.54 = 416.66 : x
  2. Step 2: Convert to fraction form
    470.99/706.54 = 416.66/x
  3. Step 3: Cross multiply
    470.99x = 706.54 × 416.66
  4. Step 4: Simplify right side
    470.99x = 294,382.38
  5. Step 5: Solve for x
    x = 294,382.38/470.99
  6. Step 6: Final answer
    x = 625.03

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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.