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Finding the Fourth Proportional to 1,160.12, 1,600.56 and 776.99

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Solution

The fourth proportional to 1,160.12, 1,600.56 and 776.99 is: 1,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.12 : 1,600.56 = 776.99 : x
  2. Step 2: Convert to fraction form
    1,160.12/1,600.56 = 776.99/x
  3. Step 3: Cross multiply
    1,160.12x = 1,600.56 × 776.99
  4. Step 4: Simplify right side
    1,160.12x = 1,243,623.12
  5. Step 5: Solve for x
    x = 1,243,623.12/1,160.12
  6. Step 6: Final answer
    x = 1,071.98

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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.