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Finding the Fourth Proportional to 1,064.68, 1,589.41 and 900.58

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Solution

The fourth proportional to 1,064.68, 1,589.41 and 900.58 is: 1,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.68 : 1,589.41 = 900.58 : x
  2. Step 2: Convert to fraction form
    1,064.68/1,589.41 = 900.58/x
  3. Step 3: Cross multiply
    1,064.68x = 1,589.41 × 900.58
  4. Step 4: Simplify right side
    1,064.68x = 1,431,390.86
  5. Step 5: Solve for x
    x = 1,431,390.86/1,064.68
  6. Step 6: Final answer
    x = 1,344.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.