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Finding the Fourth Proportional to 1,335.12, 2,000.40 and 640.14

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Solution

The fourth proportional to 1,335.12, 2,000.40 and 640.14 is: 959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.12 : 2,000.40 = 640.14 : x
  2. Step 2: Convert to fraction form
    1,335.12/2,000.40 = 640.14/x
  3. Step 3: Cross multiply
    1,335.12x = 2,000.40 × 640.14
  4. Step 4: Simplify right side
    1,335.12x = 1,280,536.06
  5. Step 5: Solve for x
    x = 1,280,536.06/1,335.12
  6. Step 6: Final answer
    x = 959.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.