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Finding the Fourth Proportional to 764.91, 1,146.69 and 302.45

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Solution

The fourth proportional to 764.91, 1,146.69 and 302.45 is: 453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.91 : 1,146.69 = 302.45 : x
  2. Step 2: Convert to fraction form
    764.91/1,146.69 = 302.45/x
  3. Step 3: Cross multiply
    764.91x = 1,146.69 × 302.45
  4. Step 4: Simplify right side
    764.91x = 346,810.66
  5. Step 5: Solve for x
    x = 346,810.66/764.91
  6. Step 6: Final answer
    x = 453.40

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