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Finding the Fourth Proportional to 983.65, 1,482.55 and 848.33

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Solution

The fourth proportional to 983.65, 1,482.55 and 848.33 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.65 : 1,482.55 = 848.33 : x
  2. Step 2: Convert to fraction form
    983.65/1,482.55 = 848.33/x
  3. Step 3: Cross multiply
    983.65x = 1,482.55 × 848.33
  4. Step 4: Simplify right side
    983.65x = 1,257,691.64
  5. Step 5: Solve for x
    x = 1,257,691.64/983.65
  6. Step 6: Final answer
    x = 1,278.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.