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Finding the Fourth Proportional to 706.46, 972.81 and 558.63

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Solution

The fourth proportional to 706.46, 972.81 and 558.63 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 972.81 = 558.63 : x
  2. Step 2: Convert to fraction form
    706.46/972.81 = 558.63/x
  3. Step 3: Cross multiply
    706.46x = 972.81 × 558.63
  4. Step 4: Simplify right side
    706.46x = 543,440.85
  5. Step 5: Solve for x
    x = 543,440.85/706.46
  6. Step 6: Final answer
    x = 769.25

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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.