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Finding the Fourth Proportional to 1,051.46, 1,450.44 and 653.00

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Solution

The fourth proportional to 1,051.46, 1,450.44 and 653.00 is: 900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.46 : 1,450.44 = 653.00 : x
  2. Step 2: Convert to fraction form
    1,051.46/1,450.44 = 653.00/x
  3. Step 3: Cross multiply
    1,051.46x = 1,450.44 × 653.00
  4. Step 4: Simplify right side
    1,051.46x = 947,130.07
  5. Step 5: Solve for x
    x = 947,130.07/1,051.46
  6. Step 6: Final answer
    x = 900.78

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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.