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Finding the Fourth Proportional to 597.41, 823.62 and 420.14

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Solution

The fourth proportional to 597.41, 823.62 and 420.14 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 823.62 = 420.14 : x
  2. Step 2: Convert to fraction form
    597.41/823.62 = 420.14/x
  3. Step 3: Cross multiply
    597.41x = 823.62 × 420.14
  4. Step 4: Simplify right side
    597.41x = 346,035.71
  5. Step 5: Solve for x
    x = 346,035.71/597.41
  6. Step 6: Final answer
    x = 579.23

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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.