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Finding the Fourth Proportional to 1,455.84, 2,183.70 and 590.16

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Solution

The fourth proportional to 1,455.84, 2,183.70 and 590.16 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.84 : 2,183.70 = 590.16 : x
  2. Step 2: Convert to fraction form
    1,455.84/2,183.70 = 590.16/x
  3. Step 3: Cross multiply
    1,455.84x = 2,183.70 × 590.16
  4. Step 4: Simplify right side
    1,455.84x = 1,288,732.39
  5. Step 5: Solve for x
    x = 1,288,732.39/1,455.84
  6. Step 6: Final answer
    x = 885.22

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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.