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Finding the Fourth Proportional to 693.64, 1,040.62 and 231.46

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Solution

The fourth proportional to 693.64, 1,040.62 and 231.46 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.64 : 1,040.62 = 231.46 : x
  2. Step 2: Convert to fraction form
    693.64/1,040.62 = 231.46/x
  3. Step 3: Cross multiply
    693.64x = 1,040.62 × 231.46
  4. Step 4: Simplify right side
    693.64x = 240,859.81
  5. Step 5: Solve for x
    x = 240,859.81/693.64
  6. Step 6: Final answer
    x = 347.24

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.