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Finding the Fourth Proportional to 1,018.51, 1,405.70 and 821.41

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Solution

The fourth proportional to 1,018.51, 1,405.70 and 821.41 is: 1,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.51 : 1,405.70 = 821.41 : x
  2. Step 2: Convert to fraction form
    1,018.51/1,405.70 = 821.41/x
  3. Step 3: Cross multiply
    1,018.51x = 1,405.70 × 821.41
  4. Step 4: Simplify right side
    1,018.51x = 1,154,656.04
  5. Step 5: Solve for x
    x = 1,154,656.04/1,018.51
  6. Step 6: Final answer
    x = 1,133.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.