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Finding the Fourth Proportional to 693.10, 957.63 and 546.85

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Solution

The fourth proportional to 693.10, 957.63 and 546.85 is: 755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.10 : 957.63 = 546.85 : x
  2. Step 2: Convert to fraction form
    693.10/957.63 = 546.85/x
  3. Step 3: Cross multiply
    693.10x = 957.63 × 546.85
  4. Step 4: Simplify right side
    693.10x = 523,679.97
  5. Step 5: Solve for x
    x = 523,679.97/693.10
  6. Step 6: Final answer
    x = 755.56

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1.5x scale

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.