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Finding the Fourth Proportional to 2,710.16, 4,065.23 and 658.16

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Solution

The fourth proportional to 2,710.16, 4,065.23 and 658.16 is: 987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.16 : 4,065.23 = 658.16 : x
  2. Step 2: Convert to fraction form
    2,710.16/4,065.23 = 658.16/x
  3. Step 3: Cross multiply
    2,710.16x = 4,065.23 × 658.16
  4. Step 4: Simplify right side
    2,710.16x = 2,675,548.16
  5. Step 5: Solve for x
    x = 2,675,548.16/2,710.16
  6. Step 6: Final answer
    x = 987.23

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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.