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Finding the Fourth Proportional to 1,359.87, 2,038.80 and 434.89

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Solution

The fourth proportional to 1,359.87, 2,038.80 and 434.89 is: 652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.87 : 2,038.80 = 434.89 : x
  2. Step 2: Convert to fraction form
    1,359.87/2,038.80 = 434.89/x
  3. Step 3: Cross multiply
    1,359.87x = 2,038.80 × 434.89
  4. Step 4: Simplify right side
    1,359.87x = 886,653.73
  5. Step 5: Solve for x
    x = 886,653.73/1,359.87
  6. Step 6: Final answer
    x = 652.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.