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Finding the Fourth Proportional to 904.82, 1,356.31 and 687.94

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Solution

The fourth proportional to 904.82, 1,356.31 and 687.94 is: 1,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.82 : 1,356.31 = 687.94 : x
  2. Step 2: Convert to fraction form
    904.82/1,356.31 = 687.94/x
  3. Step 3: Cross multiply
    904.82x = 1,356.31 × 687.94
  4. Step 4: Simplify right side
    904.82x = 933,054.79
  5. Step 5: Solve for x
    x = 933,054.79/904.82
  6. Step 6: Final answer
    x = 1,031.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.