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Finding the Fourth Proportional to 830.46, 1,146.09 and 550.21

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Solution

The fourth proportional to 830.46, 1,146.09 and 550.21 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.46 : 1,146.09 = 550.21 : x
  2. Step 2: Convert to fraction form
    830.46/1,146.09 = 550.21/x
  3. Step 3: Cross multiply
    830.46x = 1,146.09 × 550.21
  4. Step 4: Simplify right side
    830.46x = 630,581.70
  5. Step 5: Solve for x
    x = 630,581.70/830.46
  6. Step 6: Final answer
    x = 759.32

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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.