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Finding the Fourth Proportional to 998.55, 1,378.35 and 703.98

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Solution

The fourth proportional to 998.55, 1,378.35 and 703.98 is: 971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.55 : 1,378.35 = 703.98 : x
  2. Step 2: Convert to fraction form
    998.55/1,378.35 = 703.98/x
  3. Step 3: Cross multiply
    998.55x = 1,378.35 × 703.98
  4. Step 4: Simplify right side
    998.55x = 970,330.83
  5. Step 5: Solve for x
    x = 970,330.83/998.55
  6. Step 6: Final answer
    x = 971.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.