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Finding the Fourth Proportional to 2,045.09, 3,068.08 and 658.51

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Solution

The fourth proportional to 2,045.09, 3,068.08 and 658.51 is: 987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.09 : 3,068.08 = 658.51 : x
  2. Step 2: Convert to fraction form
    2,045.09/3,068.08 = 658.51/x
  3. Step 3: Cross multiply
    2,045.09x = 3,068.08 × 658.51
  4. Step 4: Simplify right side
    2,045.09x = 2,020,352.04
  5. Step 5: Solve for x
    x = 2,020,352.04/2,045.09
  6. Step 6: Final answer
    x = 987.90

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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.