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Finding the Fourth Proportional to 1,002.21, 1,510.80 and 935.31

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Solution

The fourth proportional to 1,002.21, 1,510.80 and 935.31 is: 1,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.21 : 1,510.80 = 935.31 : x
  2. Step 2: Convert to fraction form
    1,002.21/1,510.80 = 935.31/x
  3. Step 3: Cross multiply
    1,002.21x = 1,510.80 × 935.31
  4. Step 4: Simplify right side
    1,002.21x = 1,413,066.35
  5. Step 5: Solve for x
    x = 1,413,066.35/1,002.21
  6. Step 6: Final answer
    x = 1,409.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.