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Finding the Fourth Proportional to 830.03, 1,244.54 and 309.77

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Solution

The fourth proportional to 830.03, 1,244.54 and 309.77 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.03 : 1,244.54 = 309.77 : x
  2. Step 2: Convert to fraction form
    830.03/1,244.54 = 309.77/x
  3. Step 3: Cross multiply
    830.03x = 1,244.54 × 309.77
  4. Step 4: Simplify right side
    830.03x = 385,518.63
  5. Step 5: Solve for x
    x = 385,518.63/830.03
  6. Step 6: Final answer
    x = 464.46

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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.