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Finding the Fourth Proportional to 1,698.57, 2,548.79 and 712.07

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Solution

The fourth proportional to 1,698.57, 2,548.79 and 712.07 is: 1,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.57 : 2,548.79 = 712.07 : x
  2. Step 2: Convert to fraction form
    1,698.57/2,548.79 = 712.07/x
  3. Step 3: Cross multiply
    1,698.57x = 2,548.79 × 712.07
  4. Step 4: Simplify right side
    1,698.57x = 1,814,916.90
  5. Step 5: Solve for x
    x = 1,814,916.90/1,698.57
  6. Step 6: Final answer
    x = 1,068.50

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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.