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Finding the Fourth Proportional to 763.55, 1,145.69 and 276.65

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Solution

The fourth proportional to 763.55, 1,145.69 and 276.65 is: 415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.55 : 1,145.69 = 276.65 : x
  2. Step 2: Convert to fraction form
    763.55/1,145.69 = 276.65/x
  3. Step 3: Cross multiply
    763.55x = 1,145.69 × 276.65
  4. Step 4: Simplify right side
    763.55x = 316,955.14
  5. Step 5: Solve for x
    x = 316,955.14/763.55
  6. Step 6: Final answer
    x = 415.11

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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.