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Finding the Fourth Proportional to 1,145.96, 1,581.38 and 621.98

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Solution

The fourth proportional to 1,145.96, 1,581.38 and 621.98 is: 858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.96 : 1,581.38 = 621.98 : x
  2. Step 2: Convert to fraction form
    1,145.96/1,581.38 = 621.98/x
  3. Step 3: Cross multiply
    1,145.96x = 1,581.38 × 621.98
  4. Step 4: Simplify right side
    1,145.96x = 983,586.73
  5. Step 5: Solve for x
    x = 983,586.73/1,145.96
  6. Step 6: Final answer
    x = 858.31

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1.5x scale

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.