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Finding the Fourth Proportional to 908.57, 1,356.27 and 840.89

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Solution

The fourth proportional to 908.57, 1,356.27 and 840.89 is: 1,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.57 : 1,356.27 = 840.89 : x
  2. Step 2: Convert to fraction form
    908.57/1,356.27 = 840.89/x
  3. Step 3: Cross multiply
    908.57x = 1,356.27 × 840.89
  4. Step 4: Simplify right side
    908.57x = 1,140,473.88
  5. Step 5: Solve for x
    x = 1,140,473.88/908.57
  6. Step 6: Final answer
    x = 1,255.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.