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Finding the Fourth Proportional to 1,210.94, 1,671.62 and 916.28

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Solution

The fourth proportional to 1,210.94, 1,671.62 and 916.28 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.94 : 1,671.62 = 916.28 : x
  2. Step 2: Convert to fraction form
    1,210.94/1,671.62 = 916.28/x
  3. Step 3: Cross multiply
    1,210.94x = 1,671.62 × 916.28
  4. Step 4: Simplify right side
    1,210.94x = 1,531,659.03
  5. Step 5: Solve for x
    x = 1,531,659.03/1,210.94
  6. Step 6: Final answer
    x = 1,264.86

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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.