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Finding the Fourth Proportional to 771.51, 1,157.31 and 278.03

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Solution

The fourth proportional to 771.51, 1,157.31 and 278.03 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.51 : 1,157.31 = 278.03 : x
  2. Step 2: Convert to fraction form
    771.51/1,157.31 = 278.03/x
  3. Step 3: Cross multiply
    771.51x = 1,157.31 × 278.03
  4. Step 4: Simplify right side
    771.51x = 321,761.11
  5. Step 5: Solve for x
    x = 321,761.11/771.51
  6. Step 6: Final answer
    x = 417.05

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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.