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Finding the Fourth Proportional to 433.59, 598.59 and 286.47

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Solution

The fourth proportional to 433.59, 598.59 and 286.47 is: 395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.59 : 598.59 = 286.47 : x
  2. Step 2: Convert to fraction form
    433.59/598.59 = 286.47/x
  3. Step 3: Cross multiply
    433.59x = 598.59 × 286.47
  4. Step 4: Simplify right side
    433.59x = 171,478.08
  5. Step 5: Solve for x
    x = 171,478.08/433.59
  6. Step 6: Final answer
    x = 395.48

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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.