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Finding the Fourth Proportional to 703.58, 970.89 and 404.86

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Solution

The fourth proportional to 703.58, 970.89 and 404.86 is: 558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 970.89 = 404.86 : x
  2. Step 2: Convert to fraction form
    703.58/970.89 = 404.86/x
  3. Step 3: Cross multiply
    703.58x = 970.89 × 404.86
  4. Step 4: Simplify right side
    703.58x = 393,074.53
  5. Step 5: Solve for x
    x = 393,074.53/703.58
  6. Step 6: Final answer
    x = 558.68

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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.