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Finding the Fourth Proportional to 612.74, 845.10 and 402.56

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Solution

The fourth proportional to 612.74, 845.10 and 402.56 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 845.10 = 402.56 : x
  2. Step 2: Convert to fraction form
    612.74/845.10 = 402.56/x
  3. Step 3: Cross multiply
    612.74x = 845.10 × 402.56
  4. Step 4: Simplify right side
    612.74x = 340,203.46
  5. Step 5: Solve for x
    x = 340,203.46/612.74
  6. Step 6: Final answer
    x = 555.22

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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.