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Finding the Fourth Proportional to 1,002.36, 1,495.80 and 910.56

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Solution

The fourth proportional to 1,002.36, 1,495.80 and 910.56 is: 1,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.36 : 1,495.80 = 910.56 : x
  2. Step 2: Convert to fraction form
    1,002.36/1,495.80 = 910.56/x
  3. Step 3: Cross multiply
    1,002.36x = 1,495.80 × 910.56
  4. Step 4: Simplify right side
    1,002.36x = 1,362,015.65
  5. Step 5: Solve for x
    x = 1,362,015.65/1,002.36
  6. Step 6: Final answer
    x = 1,358.81

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