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Finding the Fourth Proportional to 612.63, 844.02 and 519.35

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Solution

The fourth proportional to 612.63, 844.02 and 519.35 is: 715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 844.02 = 519.35 : x
  2. Step 2: Convert to fraction form
    612.63/844.02 = 519.35/x
  3. Step 3: Cross multiply
    612.63x = 844.02 × 519.35
  4. Step 4: Simplify right side
    612.63x = 438,337.57
  5. Step 5: Solve for x
    x = 438,337.57/612.63
  6. Step 6: Final answer
    x = 715.50

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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.