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Finding the Fourth Proportional to 500.10, 689.28 and 406.50

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Solution

The fourth proportional to 500.10, 689.28 and 406.50 is: 560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 689.28 = 406.50 : x
  2. Step 2: Convert to fraction form
    500.10/689.28 = 406.50/x
  3. Step 3: Cross multiply
    500.10x = 689.28 × 406.50
  4. Step 4: Simplify right side
    500.10x = 280,192.32
  5. Step 5: Solve for x
    x = 280,192.32/500.10
  6. Step 6: Final answer
    x = 560.27

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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.