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Finding the Fourth Proportional to 1,461.41, 2,192.23 and 487.51

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Solution

The fourth proportional to 1,461.41, 2,192.23 and 487.51 is: 731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.41 : 2,192.23 = 487.51 : x
  2. Step 2: Convert to fraction form
    1,461.41/2,192.23 = 487.51/x
  3. Step 3: Cross multiply
    1,461.41x = 2,192.23 × 487.51
  4. Step 4: Simplify right side
    1,461.41x = 1,068,740.14
  5. Step 5: Solve for x
    x = 1,068,740.14/1,461.41
  6. Step 6: Final answer
    x = 731.31

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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.