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Finding the Fourth Proportional to 556.88, 833.70 and 391.78

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Solution

The fourth proportional to 556.88, 833.70 and 391.78 is: 586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 833.70 = 391.78 : x
  2. Step 2: Convert to fraction form
    556.88/833.70 = 391.78/x
  3. Step 3: Cross multiply
    556.88x = 833.70 × 391.78
  4. Step 4: Simplify right side
    556.88x = 326,626.99
  5. Step 5: Solve for x
    x = 326,626.99/556.88
  6. Step 6: Final answer
    x = 586.53

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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.