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Finding the Fourth Proportional to 500.31, 689.49 and 360.19

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Solution

The fourth proportional to 500.31, 689.49 and 360.19 is: 496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.31 : 689.49 = 360.19 : x
  2. Step 2: Convert to fraction form
    500.31/689.49 = 360.19/x
  3. Step 3: Cross multiply
    500.31x = 689.49 × 360.19
  4. Step 4: Simplify right side
    500.31x = 248,348.26
  5. Step 5: Solve for x
    x = 248,348.26/500.31
  6. Step 6: Final answer
    x = 496.39

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Double scale
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1.5x scale

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.