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Finding the Fourth Proportional to 1,988.94, 2,983.95 and 690.51

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Solution

The fourth proportional to 1,988.94, 2,983.95 and 690.51 is: 1,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.94 : 2,983.95 = 690.51 : x
  2. Step 2: Convert to fraction form
    1,988.94/2,983.95 = 690.51/x
  3. Step 3: Cross multiply
    1,988.94x = 2,983.95 × 690.51
  4. Step 4: Simplify right side
    1,988.94x = 2,060,447.31
  5. Step 5: Solve for x
    x = 2,060,447.31/1,988.94
  6. Step 6: Final answer
    x = 1,035.95

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Why These Related Problems?

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