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Finding the Fourth Proportional to 1,064.65, 1,589.39 and 900.58

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Solution

The fourth proportional to 1,064.65, 1,589.39 and 900.58 is: 1,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.65 : 1,589.39 = 900.58 : x
  2. Step 2: Convert to fraction form
    1,064.65/1,589.39 = 900.58/x
  3. Step 3: Cross multiply
    1,064.65x = 1,589.39 × 900.58
  4. Step 4: Simplify right side
    1,064.65x = 1,431,372.85
  5. Step 5: Solve for x
    x = 1,431,372.85/1,064.65
  6. Step 6: Final answer
    x = 1,344.45

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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.