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Finding the Fourth Proportional to 612.40, 844.88 and 425.68

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Solution

The fourth proportional to 612.40, 844.88 and 425.68 is: 587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.40 : 844.88 = 425.68 : x
  2. Step 2: Convert to fraction form
    612.40/844.88 = 425.68/x
  3. Step 3: Cross multiply
    612.40x = 844.88 × 425.68
  4. Step 4: Simplify right side
    612.40x = 359,648.52
  5. Step 5: Solve for x
    x = 359,648.52/612.40
  6. Step 6: Final answer
    x = 587.28

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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.