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Finding the Fourth Proportional to 773.53, 1,159.56 and 286.45

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Solution

The fourth proportional to 773.53, 1,159.56 and 286.45 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.53 : 1,159.56 = 286.45 : x
  2. Step 2: Convert to fraction form
    773.53/1,159.56 = 286.45/x
  3. Step 3: Cross multiply
    773.53x = 1,159.56 × 286.45
  4. Step 4: Simplify right side
    773.53x = 332,155.96
  5. Step 5: Solve for x
    x = 332,155.96/773.53
  6. Step 6: Final answer
    x = 429.40

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1.5x scale

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.