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Finding the Fourth Proportional to 693.75, 957.42 and 383.25

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Solution

The fourth proportional to 693.75, 957.42 and 383.25 is: 528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.75 : 957.42 = 383.25 : x
  2. Step 2: Convert to fraction form
    693.75/957.42 = 383.25/x
  3. Step 3: Cross multiply
    693.75x = 957.42 × 383.25
  4. Step 4: Simplify right side
    693.75x = 366,931.22
  5. Step 5: Solve for x
    x = 366,931.22/693.75
  6. Step 6: Final answer
    x = 528.91

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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.