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Finding the Fourth Proportional to 779.45, 1,170.54 and 456.84

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Solution

The fourth proportional to 779.45, 1,170.54 and 456.84 is: 686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.45 : 1,170.54 = 456.84 : x
  2. Step 2: Convert to fraction form
    779.45/1,170.54 = 456.84/x
  3. Step 3: Cross multiply
    779.45x = 1,170.54 × 456.84
  4. Step 4: Simplify right side
    779.45x = 534,749.49
  5. Step 5: Solve for x
    x = 534,749.49/779.45
  6. Step 6: Final answer
    x = 686.06

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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.