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Finding the Fourth Proportional to 556.84, 834.67 and 402.69

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Solution

The fourth proportional to 556.84, 834.67 and 402.69 is: 603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.84 : 834.67 = 402.69 : x
  2. Step 2: Convert to fraction form
    556.84/834.67 = 402.69/x
  3. Step 3: Cross multiply
    556.84x = 834.67 × 402.69
  4. Step 4: Simplify right side
    556.84x = 336,116.90
  5. Step 5: Solve for x
    x = 336,116.90/556.84
  6. Step 6: Final answer
    x = 603.61

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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.