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Finding the Fourth Proportional to 612.57, 845.33 and 347.00

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Solution

The fourth proportional to 612.57, 845.33 and 347.00 is: 478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.57 : 845.33 = 347.00 : x
  2. Step 2: Convert to fraction form
    612.57/845.33 = 347.00/x
  3. Step 3: Cross multiply
    612.57x = 845.33 × 347.00
  4. Step 4: Simplify right side
    612.57x = 293,323.55
  5. Step 5: Solve for x
    x = 293,323.55/612.57
  6. Step 6: Final answer
    x = 478.84

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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.