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Finding the Fourth Proportional to 402.59, 598.62 and 386.19

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Solution

The fourth proportional to 402.59, 598.62 and 386.19 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 598.62 = 386.19 : x
  2. Step 2: Convert to fraction form
    402.59/598.62 = 386.19/x
  3. Step 3: Cross multiply
    402.59x = 598.62 × 386.19
  4. Step 4: Simplify right side
    402.59x = 231,182.51
  5. Step 5: Solve for x
    x = 231,182.51/402.59
  6. Step 6: Final answer
    x = 574.23

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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.