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Finding the Fourth Proportional to 1,020.64, 1,406.94 and 626.98

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Solution

The fourth proportional to 1,020.64, 1,406.94 and 626.98 is: 864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.64 : 1,406.94 = 626.98 : x
  2. Step 2: Convert to fraction form
    1,020.64/1,406.94 = 626.98/x
  3. Step 3: Cross multiply
    1,020.64x = 1,406.94 × 626.98
  4. Step 4: Simplify right side
    1,020.64x = 882,123.24
  5. Step 5: Solve for x
    x = 882,123.24/1,020.64
  6. Step 6: Final answer
    x = 864.28

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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.