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Finding the Fourth Proportional to 1,989.71, 2,984.95 and 603.17

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Solution

The fourth proportional to 1,989.71, 2,984.95 and 603.17 is: 904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.71 : 2,984.95 = 603.17 : x
  2. Step 2: Convert to fraction form
    1,989.71/2,984.95 = 603.17/x
  3. Step 3: Cross multiply
    1,989.71x = 2,984.95 × 603.17
  4. Step 4: Simplify right side
    1,989.71x = 1,800,437.71
  5. Step 5: Solve for x
    x = 1,800,437.71/1,989.71
  6. Step 6: Final answer
    x = 904.87

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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.