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Finding the Fourth Proportional to 773.51, 1,159.72 and 362.40

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Solution

The fourth proportional to 773.51, 1,159.72 and 362.40 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.51 : 1,159.72 = 362.40 : x
  2. Step 2: Convert to fraction form
    773.51/1,159.72 = 362.40/x
  3. Step 3: Cross multiply
    773.51x = 1,159.72 × 362.40
  4. Step 4: Simplify right side
    773.51x = 420,282.53
  5. Step 5: Solve for x
    x = 420,282.53/773.51
  6. Step 6: Final answer
    x = 543.34

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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.