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Finding the Fourth Proportional to 1,064.70, 1,469.16 and 622.50

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Solution

The fourth proportional to 1,064.70, 1,469.16 and 622.50 is: 858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.70 : 1,469.16 = 622.50 : x
  2. Step 2: Convert to fraction form
    1,064.70/1,469.16 = 622.50/x
  3. Step 3: Cross multiply
    1,064.70x = 1,469.16 × 622.50
  4. Step 4: Simplify right side
    1,064.70x = 914,552.10
  5. Step 5: Solve for x
    x = 914,552.10/1,064.70
  6. Step 6: Final answer
    x = 858.98

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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.