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Finding the Fourth Proportional to 773.10, 1,065.78 and 478.20

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Solution

The fourth proportional to 773.10, 1,065.78 and 478.20 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.10 : 1,065.78 = 478.20 : x
  2. Step 2: Convert to fraction form
    773.10/1,065.78 = 478.20/x
  3. Step 3: Cross multiply
    773.10x = 1,065.78 × 478.20
  4. Step 4: Simplify right side
    773.10x = 509,656.00
  5. Step 5: Solve for x
    x = 509,656.00/773.10
  6. Step 6: Final answer
    x = 659.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.