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Finding the Fourth Proportional to 1,698.71, 2,545.88 and 1,478.39

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Solution

The fourth proportional to 1,698.71, 2,545.88 and 1,478.39 is: 2,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.71 : 2,545.88 = 1,478.39 : x
  2. Step 2: Convert to fraction form
    1,698.71/2,545.88 = 1,478.39/x
  3. Step 3: Cross multiply
    1,698.71x = 2,545.88 × 1,478.39
  4. Step 4: Simplify right side
    1,698.71x = 3,763,783.41
  5. Step 5: Solve for x
    x = 3,763,783.41/1,698.71
  6. Step 6: Final answer
    x = 2,215.68

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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.