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Finding the Fourth Proportional to 1,006.10, 1,388.42 and 564.00

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Solution

The fourth proportional to 1,006.10, 1,388.42 and 564.00 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.10 : 1,388.42 = 564.00 : x
  2. Step 2: Convert to fraction form
    1,006.10/1,388.42 = 564.00/x
  3. Step 3: Cross multiply
    1,006.10x = 1,388.42 × 564.00
  4. Step 4: Simplify right side
    1,006.10x = 783,072.51
  5. Step 5: Solve for x
    x = 783,072.51/1,006.10
  6. Step 6: Final answer
    x = 778.32

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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.