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Finding the Fourth Proportional to 904.06, 1,240.67 and 820.90

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Solution

The fourth proportional to 904.06, 1,240.67 and 820.90 is: 1,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.06 : 1,240.67 = 820.90 : x
  2. Step 2: Convert to fraction form
    904.06/1,240.67 = 820.90/x
  3. Step 3: Cross multiply
    904.06x = 1,240.67 × 820.90
  4. Step 4: Simplify right side
    904.06x = 1,018,466.00
  5. Step 5: Solve for x
    x = 1,018,466.00/904.06
  6. Step 6: Final answer
    x = 1,126.55

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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.