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Finding the Fourth Proportional to 763.79, 1,145.48 and 295.16

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Solution

The fourth proportional to 763.79, 1,145.48 and 295.16 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.79 : 1,145.48 = 295.16 : x
  2. Step 2: Convert to fraction form
    763.79/1,145.48 = 295.16/x
  3. Step 3: Cross multiply
    763.79x = 1,145.48 × 295.16
  4. Step 4: Simplify right side
    763.79x = 338,095.54
  5. Step 5: Solve for x
    x = 338,095.54/763.79
  6. Step 6: Final answer
    x = 442.65

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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.