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Finding the Fourth Proportional to 756.58, 1,134.56 and 463.96

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Solution

The fourth proportional to 756.58, 1,134.56 and 463.96 is: 695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.58 : 1,134.56 = 463.96 : x
  2. Step 2: Convert to fraction form
    756.58/1,134.56 = 463.96/x
  3. Step 3: Cross multiply
    756.58x = 1,134.56 × 463.96
  4. Step 4: Simplify right side
    756.58x = 526,390.46
  5. Step 5: Solve for x
    x = 526,390.46/756.58
  6. Step 6: Final answer
    x = 695.75

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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.