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Finding the Fourth Proportional to 675.80, 947.40 and 675.80

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Solution

The fourth proportional to 675.80, 947.40 and 675.80 is: 947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.80 : 947.40 = 675.80 : x
  2. Step 2: Convert to fraction form
    675.80/947.40 = 675.80/x
  3. Step 3: Cross multiply
    675.80x = 947.40 × 675.80
  4. Step 4: Simplify right side
    675.80x = 640,252.92
  5. Step 5: Solve for x
    x = 640,252.92/675.80
  6. Step 6: Final answer
    x = 947.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.