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Finding the Fourth Proportional to 764.70, 1,055.26 and 433.11

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Solution

The fourth proportional to 764.70, 1,055.26 and 433.11 is: 597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.70 : 1,055.26 = 433.11 : x
  2. Step 2: Convert to fraction form
    764.70/1,055.26 = 433.11/x
  3. Step 3: Cross multiply
    764.70x = 1,055.26 × 433.11
  4. Step 4: Simplify right side
    764.70x = 457,043.10
  5. Step 5: Solve for x
    x = 457,043.10/764.70
  6. Step 6: Final answer
    x = 597.67

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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.