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Finding the Fourth Proportional to 1,718.19, 2,578.64 and 988.38

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Solution

The fourth proportional to 1,718.19, 2,578.64 and 988.38 is: 1,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.19 : 2,578.64 = 988.38 : x
  2. Step 2: Convert to fraction form
    1,718.19/2,578.64 = 988.38/x
  3. Step 3: Cross multiply
    1,718.19x = 2,578.64 × 988.38
  4. Step 4: Simplify right side
    1,718.19x = 2,548,671.26
  5. Step 5: Solve for x
    x = 2,548,671.26/1,718.19
  6. Step 6: Final answer
    x = 1,483.35

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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.