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Finding the Fourth Proportional to 1,210.52, 1,671.36 and 862.22

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Solution

The fourth proportional to 1,210.52, 1,671.36 and 862.22 is: 1,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.52 : 1,671.36 = 862.22 : x
  2. Step 2: Convert to fraction form
    1,210.52/1,671.36 = 862.22/x
  3. Step 3: Cross multiply
    1,210.52x = 1,671.36 × 862.22
  4. Step 4: Simplify right side
    1,210.52x = 1,441,080.02
  5. Step 5: Solve for x
    x = 1,441,080.02/1,210.52
  6. Step 6: Final answer
    x = 1,190.46

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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.