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Finding the Fourth Proportional to 758.84, 1,137.16 and 411.88

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Solution

The fourth proportional to 758.84, 1,137.16 and 411.88 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,137.16 = 411.88 : x
  2. Step 2: Convert to fraction form
    758.84/1,137.16 = 411.88/x
  3. Step 3: Cross multiply
    758.84x = 1,137.16 × 411.88
  4. Step 4: Simplify right side
    758.84x = 468,373.46
  5. Step 5: Solve for x
    x = 468,373.46/758.84
  6. Step 6: Final answer
    x = 617.22

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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.