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Finding the Fourth Proportional to 764.77, 1,146.91 and 302.46

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Solution

The fourth proportional to 764.77, 1,146.91 and 302.46 is: 453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.77 : 1,146.91 = 302.46 : x
  2. Step 2: Convert to fraction form
    764.77/1,146.91 = 302.46/x
  3. Step 3: Cross multiply
    764.77x = 1,146.91 × 302.46
  4. Step 4: Simplify right side
    764.77x = 346,894.40
  5. Step 5: Solve for x
    x = 346,894.40/764.77
  6. Step 6: Final answer
    x = 453.59

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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.