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Finding the Fourth Proportional to 1,054.10, 1,454.49 and 634.19

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Solution

The fourth proportional to 1,054.10, 1,454.49 and 634.19 is: 875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.10 : 1,454.49 = 634.19 : x
  2. Step 2: Convert to fraction form
    1,054.10/1,454.49 = 634.19/x
  3. Step 3: Cross multiply
    1,054.10x = 1,454.49 × 634.19
  4. Step 4: Simplify right side
    1,054.10x = 922,415.74
  5. Step 5: Solve for x
    x = 922,415.74/1,054.10
  6. Step 6: Final answer
    x = 875.07

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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.