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Finding the Fourth Proportional to 1,048.99, 1,574.06 and 638.41

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Solution

The fourth proportional to 1,048.99, 1,574.06 and 638.41 is: 957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.99 : 1,574.06 = 638.41 : x
  2. Step 2: Convert to fraction form
    1,048.99/1,574.06 = 638.41/x
  3. Step 3: Cross multiply
    1,048.99x = 1,574.06 × 638.41
  4. Step 4: Simplify right side
    1,048.99x = 1,004,895.64
  5. Step 5: Solve for x
    x = 1,004,895.64/1,048.99
  6. Step 6: Final answer
    x = 957.96

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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.