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Finding the Fourth Proportional to 1,003.08, 1,492.71 and 964.20

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Solution

The fourth proportional to 1,003.08, 1,492.71 and 964.20 is: 1,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.08 : 1,492.71 = 964.20 : x
  2. Step 2: Convert to fraction form
    1,003.08/1,492.71 = 964.20/x
  3. Step 3: Cross multiply
    1,003.08x = 1,492.71 × 964.20
  4. Step 4: Simplify right side
    1,003.08x = 1,439,270.98
  5. Step 5: Solve for x
    x = 1,439,270.98/1,003.08
  6. Step 6: Final answer
    x = 1,434.85

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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.