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Finding the Fourth Proportional to 612.74, 845.51 and 347.16

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Solution

The fourth proportional to 612.74, 845.51 and 347.16 is: 479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 845.51 = 347.16 : x
  2. Step 2: Convert to fraction form
    612.74/845.51 = 347.16/x
  3. Step 3: Cross multiply
    612.74x = 845.51 × 347.16
  4. Step 4: Simplify right side
    612.74x = 293,529.24
  5. Step 5: Solve for x
    x = 293,529.24/612.74
  6. Step 6: Final answer
    x = 479.04

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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.