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Finding the Fourth Proportional to 620.48, 926.76 and 534.08

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Solution

The fourth proportional to 620.48, 926.76 and 534.08 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.48 : 926.76 = 534.08 : x
  2. Step 2: Convert to fraction form
    620.48/926.76 = 534.08/x
  3. Step 3: Cross multiply
    620.48x = 926.76 × 534.08
  4. Step 4: Simplify right side
    620.48x = 494,959.35
  5. Step 5: Solve for x
    x = 494,959.35/620.48
  6. Step 6: Final answer
    x = 797.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.