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Finding the Fourth Proportional to 621.96, 857.74 and 497.63

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Solution

The fourth proportional to 621.96, 857.74 and 497.63 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.96 : 857.74 = 497.63 : x
  2. Step 2: Convert to fraction form
    621.96/857.74 = 497.63/x
  3. Step 3: Cross multiply
    621.96x = 857.74 × 497.63
  4. Step 4: Simplify right side
    621.96x = 426,837.16
  5. Step 5: Solve for x
    x = 426,837.16/621.96
  6. Step 6: Final answer
    x = 686.28

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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.