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Finding the Fourth Proportional to 1,090.92, 1,505.62 and 776.60

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Solution

The fourth proportional to 1,090.92, 1,505.62 and 776.60 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.92 : 1,505.62 = 776.60 : x
  2. Step 2: Convert to fraction form
    1,090.92/1,505.62 = 776.60/x
  3. Step 3: Cross multiply
    1,090.92x = 1,505.62 × 776.60
  4. Step 4: Simplify right side
    1,090.92x = 1,169,264.49
  5. Step 5: Solve for x
    x = 1,169,264.49/1,090.92
  6. Step 6: Final answer
    x = 1,071.82

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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.