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Finding the Fourth Proportional to 460.14, 689.14 and 277.13

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Solution

The fourth proportional to 460.14, 689.14 and 277.13 is: 415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 689.14 = 277.13 : x
  2. Step 2: Convert to fraction form
    460.14/689.14 = 277.13/x
  3. Step 3: Cross multiply
    460.14x = 689.14 × 277.13
  4. Step 4: Simplify right side
    460.14x = 190,979.56
  5. Step 5: Solve for x
    x = 190,979.56/460.14
  6. Step 6: Final answer
    x = 415.05

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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.