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Finding the Fourth Proportional to 1,104.98, 1,525.32 and 662.94

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Solution

The fourth proportional to 1,104.98, 1,525.32 and 662.94 is: 915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.98 : 1,525.32 = 662.94 : x
  2. Step 2: Convert to fraction form
    1,104.98/1,525.32 = 662.94/x
  3. Step 3: Cross multiply
    1,104.98x = 1,525.32 × 662.94
  4. Step 4: Simplify right side
    1,104.98x = 1,011,195.64
  5. Step 5: Solve for x
    x = 1,011,195.64/1,104.98
  6. Step 6: Final answer
    x = 915.13

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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.