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Finding the Fourth Proportional to 699.56, 1,048.38 and 391.56

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Solution

The fourth proportional to 699.56, 1,048.38 and 391.56 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 1,048.38 = 391.56 : x
  2. Step 2: Convert to fraction form
    699.56/1,048.38 = 391.56/x
  3. Step 3: Cross multiply
    699.56x = 1,048.38 × 391.56
  4. Step 4: Simplify right side
    699.56x = 410,503.67
  5. Step 5: Solve for x
    x = 410,503.67/699.56
  6. Step 6: Final answer
    x = 586.80

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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.