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Finding the Fourth Proportional to 1,184.42, 1,634.18 and 764.79

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Solution

The fourth proportional to 1,184.42, 1,634.18 and 764.79 is: 1,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.42 : 1,634.18 = 764.79 : x
  2. Step 2: Convert to fraction form
    1,184.42/1,634.18 = 764.79/x
  3. Step 3: Cross multiply
    1,184.42x = 1,634.18 × 764.79
  4. Step 4: Simplify right side
    1,184.42x = 1,249,803.76
  5. Step 5: Solve for x
    x = 1,249,803.76/1,184.42
  6. Step 6: Final answer
    x = 1,055.20

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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.