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Finding the Fourth Proportional to 674.30, 930.57 and 508.22

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Solution

The fourth proportional to 674.30, 930.57 and 508.22 is: 701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.30 : 930.57 = 508.22 : x
  2. Step 2: Convert to fraction form
    674.30/930.57 = 508.22/x
  3. Step 3: Cross multiply
    674.30x = 930.57 × 508.22
  4. Step 4: Simplify right side
    674.30x = 472,929.63
  5. Step 5: Solve for x
    x = 472,929.63/674.30
  6. Step 6: Final answer
    x = 701.37

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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.