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Finding the Fourth Proportional to 2,318.80, 3,478.70 and 675.40

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Solution

The fourth proportional to 2,318.80, 3,478.70 and 675.40 is: 1,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.80 : 3,478.70 = 675.40 : x
  2. Step 2: Convert to fraction form
    2,318.80/3,478.70 = 675.40/x
  3. Step 3: Cross multiply
    2,318.80x = 3,478.70 × 675.40
  4. Step 4: Simplify right side
    2,318.80x = 2,349,513.98
  5. Step 5: Solve for x
    x = 2,349,513.98/2,318.80
  6. Step 6: Final answer
    x = 1,013.25

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1.5x scale

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.