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Finding the Fourth Proportional to 497.86, 686.72 and 340.21

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Solution

The fourth proportional to 497.86, 686.72 and 340.21 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.86 : 686.72 = 340.21 : x
  2. Step 2: Convert to fraction form
    497.86/686.72 = 340.21/x
  3. Step 3: Cross multiply
    497.86x = 686.72 × 340.21
  4. Step 4: Simplify right side
    497.86x = 233,629.01
  5. Step 5: Solve for x
    x = 233,629.01/497.86
  6. Step 6: Final answer
    x = 469.27

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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.