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Finding the Fourth Proportional to 707.85, 974.52 and 558.20

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Solution

The fourth proportional to 707.85, 974.52 and 558.20 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.85 : 974.52 = 558.20 : x
  2. Step 2: Convert to fraction form
    707.85/974.52 = 558.20/x
  3. Step 3: Cross multiply
    707.85x = 974.52 × 558.20
  4. Step 4: Simplify right side
    707.85x = 543,975.85
  5. Step 5: Solve for x
    x = 543,975.85/707.85
  6. Step 6: Final answer
    x = 768.49

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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.