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Finding the Fourth Proportional to 904.55, 1,245.70 and 830.73

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Solution

The fourth proportional to 904.55, 1,245.70 and 830.73 is: 1,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.55 : 1,245.70 = 830.73 : x
  2. Step 2: Convert to fraction form
    904.55/1,245.70 = 830.73/x
  3. Step 3: Cross multiply
    904.55x = 1,245.70 × 830.73
  4. Step 4: Simplify right side
    904.55x = 1,034,838.28
  5. Step 5: Solve for x
    x = 1,034,838.28/904.55
  6. Step 6: Final answer
    x = 1,144.04

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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.