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Finding the Fourth Proportional to 903.16, 1,245 and 725.77

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Solution

The fourth proportional to 903.16, 1,245 and 725.77 is: 1,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.16 : 1,245 = 725.77 : x
  2. Step 2: Convert to fraction form
    903.16/1,245 = 725.77/x
  3. Step 3: Cross multiply
    903.16x = 1,245 × 725.77
  4. Step 4: Simplify right side
    903.16x = 903,583.65
  5. Step 5: Solve for x
    x = 903,583.65/903.16
  6. Step 6: Final answer
    x = 1,000.47

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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.