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Finding the Fourth Proportional to 830.72, 1,244.48 and 505.28

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Solution

The fourth proportional to 830.72, 1,244.48 and 505.28 is: 756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.72 : 1,244.48 = 505.28 : x
  2. Step 2: Convert to fraction form
    830.72/1,244.48 = 505.28/x
  3. Step 3: Cross multiply
    830.72x = 1,244.48 × 505.28
  4. Step 4: Simplify right side
    830.72x = 628,810.85
  5. Step 5: Solve for x
    x = 628,810.85/830.72
  6. Step 6: Final answer
    x = 756.95

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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.