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Finding the Fourth Proportional to 1,564.60, 2,157.60 and 1,005

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Solution

The fourth proportional to 1,564.60, 2,157.60 and 1,005 is: 1,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.60 : 2,157.60 = 1,005 : x
  2. Step 2: Convert to fraction form
    1,564.60/2,157.60 = 1,005/x
  3. Step 3: Cross multiply
    1,564.60x = 2,157.60 × 1,005
  4. Step 4: Simplify right side
    1,564.60x = 2,168,388
  5. Step 5: Solve for x
    x = 2,168,388/1,564.60
  6. Step 6: Final answer
    x = 1,385.91

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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.