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Finding the Fourth Proportional to 830.37, 1,245.62 and 214.07

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Solution

The fourth proportional to 830.37, 1,245.62 and 214.07 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.37 : 1,245.62 = 214.07 : x
  2. Step 2: Convert to fraction form
    830.37/1,245.62 = 214.07/x
  3. Step 3: Cross multiply
    830.37x = 1,245.62 × 214.07
  4. Step 4: Simplify right side
    830.37x = 266,643.58
  5. Step 5: Solve for x
    x = 266,643.58/830.37
  6. Step 6: Final answer
    x = 321.12

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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.