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Finding the Fourth Proportional to 497.68, 687.36 and 340.05

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Solution

The fourth proportional to 497.68, 687.36 and 340.05 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 687.36 = 340.05 : x
  2. Step 2: Convert to fraction form
    497.68/687.36 = 340.05/x
  3. Step 3: Cross multiply
    497.68x = 687.36 × 340.05
  4. Step 4: Simplify right side
    497.68x = 233,733.33
  5. Step 5: Solve for x
    x = 233,733.33/497.68
  6. Step 6: Final answer
    x = 469.65

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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.