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Finding the Fourth Proportional to 1,393.62, 2,089.02 and 899.70

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Solution

The fourth proportional to 1,393.62, 2,089.02 and 899.70 is: 1,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.62 : 2,089.02 = 899.70 : x
  2. Step 2: Convert to fraction form
    1,393.62/2,089.02 = 899.70/x
  3. Step 3: Cross multiply
    1,393.62x = 2,089.02 × 899.70
  4. Step 4: Simplify right side
    1,393.62x = 1,879,491.29
  5. Step 5: Solve for x
    x = 1,879,491.29/1,393.62
  6. Step 6: Final answer
    x = 1,348.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.