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Finding the Fourth Proportional to 1,420.50, 1,959.99 and 830.92

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Solution

The fourth proportional to 1,420.50, 1,959.99 and 830.92 is: 1,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.50 : 1,959.99 = 830.92 : x
  2. Step 2: Convert to fraction form
    1,420.50/1,959.99 = 830.92/x
  3. Step 3: Cross multiply
    1,420.50x = 1,959.99 × 830.92
  4. Step 4: Simplify right side
    1,420.50x = 1,628,594.89
  5. Step 5: Solve for x
    x = 1,628,594.89/1,420.50
  6. Step 6: Final answer
    x = 1,146.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.