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Finding the Fourth Proportional to 904.50, 1,240.70 and 896.70

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Solution

The fourth proportional to 904.50, 1,240.70 and 896.70 is: 1,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.50 : 1,240.70 = 896.70 : x
  2. Step 2: Convert to fraction form
    904.50/1,240.70 = 896.70/x
  3. Step 3: Cross multiply
    904.50x = 1,240.70 × 896.70
  4. Step 4: Simplify right side
    904.50x = 1,112,537.93
  5. Step 5: Solve for x
    x = 1,112,537.93/904.50
  6. Step 6: Final answer
    x = 1,230.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.