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Finding the Fourth Proportional to 1,166.14, 1,607.94 and 870.91

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Solution

The fourth proportional to 1,166.14, 1,607.94 and 870.91 is: 1,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.14 : 1,607.94 = 870.91 : x
  2. Step 2: Convert to fraction form
    1,166.14/1,607.94 = 870.91/x
  3. Step 3: Cross multiply
    1,166.14x = 1,607.94 × 870.91
  4. Step 4: Simplify right side
    1,166.14x = 1,400,371.03
  5. Step 5: Solve for x
    x = 1,400,371.03/1,166.14
  6. Step 6: Final answer
    x = 1,200.86

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1.5x scale

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.