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Finding the Fourth Proportional to 460.20, 689.78 and 369.06

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Solution

The fourth proportional to 460.20, 689.78 and 369.06 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.20 : 689.78 = 369.06 : x
  2. Step 2: Convert to fraction form
    460.20/689.78 = 369.06/x
  3. Step 3: Cross multiply
    460.20x = 689.78 × 369.06
  4. Step 4: Simplify right side
    460.20x = 254,570.21
  5. Step 5: Solve for x
    x = 254,570.21/460.20
  6. Step 6: Final answer
    x = 553.17

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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.