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Finding the Fourth Proportional to 764.07, 1,145.40 and 399.09

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Solution

The fourth proportional to 764.07, 1,145.40 and 399.09 is: 598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.07 : 1,145.40 = 399.09 : x
  2. Step 2: Convert to fraction form
    764.07/1,145.40 = 399.09/x
  3. Step 3: Cross multiply
    764.07x = 1,145.40 × 399.09
  4. Step 4: Simplify right side
    764.07x = 457,117.69
  5. Step 5: Solve for x
    x = 457,117.69/764.07
  6. Step 6: Final answer
    x = 598.27

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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.