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Finding the Fourth Proportional to 562.86, 845.14 and 459.06

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Solution

The fourth proportional to 562.86, 845.14 and 459.06 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.86 : 845.14 = 459.06 : x
  2. Step 2: Convert to fraction form
    562.86/845.14 = 459.06/x
  3. Step 3: Cross multiply
    562.86x = 845.14 × 459.06
  4. Step 4: Simplify right side
    562.86x = 387,969.97
  5. Step 5: Solve for x
    x = 387,969.97/562.86
  6. Step 6: Final answer
    x = 689.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.