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Finding the Fourth Proportional to 897.09, 1,237.65 and 687.05

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Solution

The fourth proportional to 897.09, 1,237.65 and 687.05 is: 947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.09 : 1,237.65 = 687.05 : x
  2. Step 2: Convert to fraction form
    897.09/1,237.65 = 687.05/x
  3. Step 3: Cross multiply
    897.09x = 1,237.65 × 687.05
  4. Step 4: Simplify right side
    897.09x = 850,327.43
  5. Step 5: Solve for x
    x = 850,327.43/897.09
  6. Step 6: Final answer
    x = 947.87

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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.