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Finding the Fourth Proportional to 1,094.14, 1,510.21 and 622.32

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Solution

The fourth proportional to 1,094.14, 1,510.21 and 622.32 is: 858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.14 : 1,510.21 = 622.32 : x
  2. Step 2: Convert to fraction form
    1,094.14/1,510.21 = 622.32/x
  3. Step 3: Cross multiply
    1,094.14x = 1,510.21 × 622.32
  4. Step 4: Simplify right side
    1,094.14x = 939,823.22
  5. Step 5: Solve for x
    x = 939,823.22/1,094.14
  6. Step 6: Final answer
    x = 858.96

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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.