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Finding the Fourth Proportional to 873.42, 1,204.74 and 558.78

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Solution

The fourth proportional to 873.42, 1,204.74 and 558.78 is: 770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.42 : 1,204.74 = 558.78 : x
  2. Step 2: Convert to fraction form
    873.42/1,204.74 = 558.78/x
  3. Step 3: Cross multiply
    873.42x = 1,204.74 × 558.78
  4. Step 4: Simplify right side
    873.42x = 673,184.62
  5. Step 5: Solve for x
    x = 673,184.62/873.42
  6. Step 6: Final answer
    x = 770.75

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Double scale
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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.