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Finding the Fourth Proportional to 1,415.25, 1,953.14 and 891.63

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Solution

The fourth proportional to 1,415.25, 1,953.14 and 891.63 is: 1,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.25 : 1,953.14 = 891.63 : x
  2. Step 2: Convert to fraction form
    1,415.25/1,953.14 = 891.63/x
  3. Step 3: Cross multiply
    1,415.25x = 1,953.14 × 891.63
  4. Step 4: Simplify right side
    1,415.25x = 1,741,473.76
  5. Step 5: Solve for x
    x = 1,741,473.76/1,415.25
  6. Step 6: Final answer
    x = 1,230.51

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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.