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Finding the Fourth Proportional to 1,025.74, 1,416.86 and 829.99

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Solution

The fourth proportional to 1,025.74, 1,416.86 and 829.99 is: 1,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.74 : 1,416.86 = 829.99 : x
  2. Step 2: Convert to fraction form
    1,025.74/1,416.86 = 829.99/x
  3. Step 3: Cross multiply
    1,025.74x = 1,416.86 × 829.99
  4. Step 4: Simplify right side
    1,025.74x = 1,175,979.63
  5. Step 5: Solve for x
    x = 1,175,979.63/1,025.74
  6. Step 6: Final answer
    x = 1,146.47

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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.