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Finding the Fourth Proportional to 612.32, 845.09 and 470.84

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Solution

The fourth proportional to 612.32, 845.09 and 470.84 is: 649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 845.09 = 470.84 : x
  2. Step 2: Convert to fraction form
    612.32/845.09 = 470.84/x
  3. Step 3: Cross multiply
    612.32x = 845.09 × 470.84
  4. Step 4: Simplify right side
    612.32x = 397,895.60
  5. Step 5: Solve for x
    x = 397,895.60/612.32
  6. Step 6: Final answer
    x = 649.82

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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.