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Finding the Fourth Proportional to 1,440.64, 1,988.40 and 998.08

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Solution

The fourth proportional to 1,440.64, 1,988.40 and 998.08 is: 1,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.64 : 1,988.40 = 998.08 : x
  2. Step 2: Convert to fraction form
    1,440.64/1,988.40 = 998.08/x
  3. Step 3: Cross multiply
    1,440.64x = 1,988.40 × 998.08
  4. Step 4: Simplify right side
    1,440.64x = 1,984,582.27
  5. Step 5: Solve for x
    x = 1,984,582.27/1,440.64
  6. Step 6: Final answer
    x = 1,377.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.