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Finding the Fourth Proportional to 1,064.82, 1,604.47 and 886.21

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Solution

The fourth proportional to 1,064.82, 1,604.47 and 886.21 is: 1,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.82 : 1,604.47 = 886.21 : x
  2. Step 2: Convert to fraction form
    1,064.82/1,604.47 = 886.21/x
  3. Step 3: Cross multiply
    1,064.82x = 1,604.47 × 886.21
  4. Step 4: Simplify right side
    1,064.82x = 1,421,897.36
  5. Step 5: Solve for x
    x = 1,421,897.36/1,064.82
  6. Step 6: Final answer
    x = 1,335.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.