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Finding the Fourth Proportional to 1,057.19, 1,586.96 and 618.95

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Solution

The fourth proportional to 1,057.19, 1,586.96 and 618.95 is: 929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.19 : 1,586.96 = 618.95 : x
  2. Step 2: Convert to fraction form
    1,057.19/1,586.96 = 618.95/x
  3. Step 3: Cross multiply
    1,057.19x = 1,586.96 × 618.95
  4. Step 4: Simplify right side
    1,057.19x = 982,252.09
  5. Step 5: Solve for x
    x = 982,252.09/1,057.19
  6. Step 6: Final answer
    x = 929.12

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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.