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Finding the Fourth Proportional to 830.79, 1,245.66 and 275.30

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Solution

The fourth proportional to 830.79, 1,245.66 and 275.30 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,245.66 = 275.30 : x
  2. Step 2: Convert to fraction form
    830.79/1,245.66 = 275.30/x
  3. Step 3: Cross multiply
    830.79x = 1,245.66 × 275.30
  4. Step 4: Simplify right side
    830.79x = 342,923.97
  5. Step 5: Solve for x
    x = 342,923.97/830.79
  6. Step 6: Final answer
    x = 412.77

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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.