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Finding the Fourth Proportional to 612.15, 844.53 and 402.44

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Solution

The fourth proportional to 612.15, 844.53 and 402.44 is: 555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.15 : 844.53 = 402.44 : x
  2. Step 2: Convert to fraction form
    612.15/844.53 = 402.44/x
  3. Step 3: Cross multiply
    612.15x = 844.53 × 402.44
  4. Step 4: Simplify right side
    612.15x = 339,870.32
  5. Step 5: Solve for x
    x = 339,870.32/612.15
  6. Step 6: Final answer
    x = 555.21

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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.