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Finding the Fourth Proportional to 2,045.90, 3,069.38 and 585.16

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Solution

The fourth proportional to 2,045.90, 3,069.38 and 585.16 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.90 : 3,069.38 = 585.16 : x
  2. Step 2: Convert to fraction form
    2,045.90/3,069.38 = 585.16/x
  3. Step 3: Cross multiply
    2,045.90x = 3,069.38 × 585.16
  4. Step 4: Simplify right side
    2,045.90x = 1,796,078.40
  5. Step 5: Solve for x
    x = 1,796,078.40/2,045.90
  6. Step 6: Final answer
    x = 877.89

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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.