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Finding the Fourth Proportional to 1,866.58, 2,800.59 and 712.06

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Solution

The fourth proportional to 1,866.58, 2,800.59 and 712.06 is: 1,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.58 : 2,800.59 = 712.06 : x
  2. Step 2: Convert to fraction form
    1,866.58/2,800.59 = 712.06/x
  3. Step 3: Cross multiply
    1,866.58x = 2,800.59 × 712.06
  4. Step 4: Simplify right side
    1,866.58x = 1,994,188.12
  5. Step 5: Solve for x
    x = 1,994,188.12/1,866.58
  6. Step 6: Final answer
    x = 1,068.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.