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Finding the Fourth Proportional to 1,138.24, 1,700.29 and 953.71

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Solution

The fourth proportional to 1,138.24, 1,700.29 and 953.71 is: 1,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.24 : 1,700.29 = 953.71 : x
  2. Step 2: Convert to fraction form
    1,138.24/1,700.29 = 953.71/x
  3. Step 3: Cross multiply
    1,138.24x = 1,700.29 × 953.71
  4. Step 4: Simplify right side
    1,138.24x = 1,621,583.58
  5. Step 5: Solve for x
    x = 1,621,583.58/1,138.24
  6. Step 6: Final answer
    x = 1,424.64

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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.