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Finding the Fourth Proportional to 612.47, 845.29 and 402.83

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Solution

The fourth proportional to 612.47, 845.29 and 402.83 is: 555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 845.29 = 402.83 : x
  2. Step 2: Convert to fraction form
    612.47/845.29 = 402.83/x
  3. Step 3: Cross multiply
    612.47x = 845.29 × 402.83
  4. Step 4: Simplify right side
    612.47x = 340,507.62
  5. Step 5: Solve for x
    x = 340,507.62/612.47
  6. Step 6: Final answer
    x = 555.96

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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.