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Finding the Fourth Proportional to 830.16, 1,244.28 and 396.72

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Solution

The fourth proportional to 830.16, 1,244.28 and 396.72 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,244.28 = 396.72 : x
  2. Step 2: Convert to fraction form
    830.16/1,244.28 = 396.72/x
  3. Step 3: Cross multiply
    830.16x = 1,244.28 × 396.72
  4. Step 4: Simplify right side
    830.16x = 493,630.76
  5. Step 5: Solve for x
    x = 493,630.76/830.16
  6. Step 6: Final answer
    x = 594.62

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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.