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Finding the Fourth Proportional to 612.25, 845.25 and 470.19

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Solution

The fourth proportional to 612.25, 845.25 and 470.19 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.25 : 845.25 = 470.19 : x
  2. Step 2: Convert to fraction form
    612.25/845.25 = 470.19/x
  3. Step 3: Cross multiply
    612.25x = 845.25 × 470.19
  4. Step 4: Simplify right side
    612.25x = 397,428.98
  5. Step 5: Solve for x
    x = 397,428.98/612.25
  6. Step 6: Final answer
    x = 649.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.