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Finding the Fourth Proportional to 1,678.64, 2,316.38 and 980.08

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Solution

The fourth proportional to 1,678.64, 2,316.38 and 980.08 is: 1,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.64 : 2,316.38 = 980.08 : x
  2. Step 2: Convert to fraction form
    1,678.64/2,316.38 = 980.08/x
  3. Step 3: Cross multiply
    1,678.64x = 2,316.38 × 980.08
  4. Step 4: Simplify right side
    1,678.64x = 2,270,237.71
  5. Step 5: Solve for x
    x = 2,270,237.71/1,678.64
  6. Step 6: Final answer
    x = 1,352.43

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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.