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Finding the Fourth Proportional to 693.56, 957.13 and 383.06

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Solution

The fourth proportional to 693.56, 957.13 and 383.06 is: 528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.56 : 957.13 = 383.06 : x
  2. Step 2: Convert to fraction form
    693.56/957.13 = 383.06/x
  3. Step 3: Cross multiply
    693.56x = 957.13 × 383.06
  4. Step 4: Simplify right side
    693.56x = 366,639.65
  5. Step 5: Solve for x
    x = 366,639.65/693.56
  6. Step 6: Final answer
    x = 528.63

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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.