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Finding the Fourth Proportional to 830.17, 1,245.21 and 253

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Solution

The fourth proportional to 830.17, 1,245.21 and 253 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.17 : 1,245.21 = 253 : x
  2. Step 2: Convert to fraction form
    830.17/1,245.21 = 253/x
  3. Step 3: Cross multiply
    830.17x = 1,245.21 × 253
  4. Step 4: Simplify right side
    830.17x = 315,038.13
  5. Step 5: Solve for x
    x = 315,038.13/830.17
  6. Step 6: Final answer
    x = 379.49

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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.