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Finding the Fourth Proportional to 1,658.75, 2,488.16 and 426.17

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Solution

The fourth proportional to 1,658.75, 2,488.16 and 426.17 is: 639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.75 : 2,488.16 = 426.17 : x
  2. Step 2: Convert to fraction form
    1,658.75/2,488.16 = 426.17/x
  3. Step 3: Cross multiply
    1,658.75x = 2,488.16 × 426.17
  4. Step 4: Simplify right side
    1,658.75x = 1,060,386.43
  5. Step 5: Solve for x
    x = 1,060,386.43/1,658.75
  6. Step 6: Final answer
    x = 639.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.