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Finding the Fourth Proportional to 1,312.11, 1,966.53 and 662.49

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Solution

The fourth proportional to 1,312.11, 1,966.53 and 662.49 is: 992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.11 : 1,966.53 = 662.49 : x
  2. Step 2: Convert to fraction form
    1,312.11/1,966.53 = 662.49/x
  3. Step 3: Cross multiply
    1,312.11x = 1,966.53 × 662.49
  4. Step 4: Simplify right side
    1,312.11x = 1,302,806.46
  5. Step 5: Solve for x
    x = 1,302,806.46/1,312.11
  6. Step 6: Final answer
    x = 992.91

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Double scale
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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.