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Finding the Fourth Proportional to 801.96, 1,106.38 and 580.53

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Solution

The fourth proportional to 801.96, 1,106.38 and 580.53 is: 800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.96 : 1,106.38 = 580.53 : x
  2. Step 2: Convert to fraction form
    801.96/1,106.38 = 580.53/x
  3. Step 3: Cross multiply
    801.96x = 1,106.38 × 580.53
  4. Step 4: Simplify right side
    801.96x = 642,283.88
  5. Step 5: Solve for x
    x = 642,283.88/801.96
  6. Step 6: Final answer
    x = 800.89

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1.5x scale

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.