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Finding the Fourth Proportional to 500.29, 689.64 and 360.16

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Solution

The fourth proportional to 500.29, 689.64 and 360.16 is: 496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.29 : 689.64 = 360.16 : x
  2. Step 2: Convert to fraction form
    500.29/689.64 = 360.16/x
  3. Step 3: Cross multiply
    500.29x = 689.64 × 360.16
  4. Step 4: Simplify right side
    500.29x = 248,377.29
  5. Step 5: Solve for x
    x = 248,377.29/500.29
  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.