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Finding the Fourth Proportional to 675.48, 1,007.12 and 668.76

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Solution

The fourth proportional to 675.48, 1,007.12 and 668.76 is: 997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 1,007.12 = 668.76 : x
  2. Step 2: Convert to fraction form
    675.48/1,007.12 = 668.76/x
  3. Step 3: Cross multiply
    675.48x = 1,007.12 × 668.76
  4. Step 4: Simplify right side
    675.48x = 673,521.57
  5. Step 5: Solve for x
    x = 673,521.57/675.48
  6. Step 6: Final answer
    x = 997.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.