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Finding the Fourth Proportional to 500.40, 689.58 and 360.27

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Solution

The fourth proportional to 500.40, 689.58 and 360.27 is: 496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 689.58 = 360.27 : x
  2. Step 2: Convert to fraction form
    500.40/689.58 = 360.27/x
  3. Step 3: Cross multiply
    500.40x = 689.58 × 360.27
  4. Step 4: Simplify right side
    500.40x = 248,433.19
  5. Step 5: Solve for x
    x = 248,433.19/500.40
  6. Step 6: Final answer
    x = 496.47

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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.