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Finding the Fourth Proportional to 612.69, 844.79 and 465.08

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Solution

The fourth proportional to 612.69, 844.79 and 465.08 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.69 : 844.79 = 465.08 : x
  2. Step 2: Convert to fraction form
    612.69/844.79 = 465.08/x
  3. Step 3: Cross multiply
    612.69x = 844.79 × 465.08
  4. Step 4: Simplify right side
    612.69x = 392,888.38
  5. Step 5: Solve for x
    x = 392,888.38/612.69
  6. Step 6: Final answer
    x = 641.25

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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.