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Finding the Fourth Proportional to 1,245.84, 1,868.86 and 321.40

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Solution

The fourth proportional to 1,245.84, 1,868.86 and 321.40 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.84 : 1,868.86 = 321.40 : x
  2. Step 2: Convert to fraction form
    1,245.84/1,868.86 = 321.40/x
  3. Step 3: Cross multiply
    1,245.84x = 1,868.86 × 321.40
  4. Step 4: Simplify right side
    1,245.84x = 600,642.26
  5. Step 5: Solve for x
    x = 600,642.26/1,245.84
  6. Step 6: Final answer
    x = 482.12

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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.