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Finding the Fourth Proportional to 2,045.68, 3,068.63 and 658.91

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Solution

The fourth proportional to 2,045.68, 3,068.63 and 658.91 is: 988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.68 : 3,068.63 = 658.91 : x
  2. Step 2: Convert to fraction form
    2,045.68/3,068.63 = 658.91/x
  3. Step 3: Cross multiply
    2,045.68x = 3,068.63 × 658.91
  4. Step 4: Simplify right side
    2,045.68x = 2,021,950.99
  5. Step 5: Solve for x
    x = 2,021,950.99/2,045.68
  6. Step 6: Final answer
    x = 988.40

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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.