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Finding the Fourth Proportional to 1,657.36, 2,486.95 and 618.06

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Solution

The fourth proportional to 1,657.36, 2,486.95 and 618.06 is: 927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.36 : 2,486.95 = 618.06 : x
  2. Step 2: Convert to fraction form
    1,657.36/2,486.95 = 618.06/x
  3. Step 3: Cross multiply
    1,657.36x = 2,486.95 × 618.06
  4. Step 4: Simplify right side
    1,657.36x = 1,537,095.57
  5. Step 5: Solve for x
    x = 1,537,095.57/1,657.36
  6. Step 6: Final answer
    x = 927.44

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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.