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Finding the Fourth Proportional to 1,043.86, 1,440.20 and 601.50

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Solution

The fourth proportional to 1,043.86, 1,440.20 and 601.50 is: 829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.86 : 1,440.20 = 601.50 : x
  2. Step 2: Convert to fraction form
    1,043.86/1,440.20 = 601.50/x
  3. Step 3: Cross multiply
    1,043.86x = 1,440.20 × 601.50
  4. Step 4: Simplify right side
    1,043.86x = 866,280.30
  5. Step 5: Solve for x
    x = 866,280.30/1,043.86
  6. Step 6: Final answer
    x = 829.88

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