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Finding the Fourth Proportional to 897.06, 1,237.93 and 504.08

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Solution

The fourth proportional to 897.06, 1,237.93 and 504.08 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.06 : 1,237.93 = 504.08 : x
  2. Step 2: Convert to fraction form
    897.06/1,237.93 = 504.08/x
  3. Step 3: Cross multiply
    897.06x = 1,237.93 × 504.08
  4. Step 4: Simplify right side
    897.06x = 624,015.75
  5. Step 5: Solve for x
    x = 624,015.75/897.06
  6. Step 6: Final answer
    x = 695.62

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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.