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Finding the Fourth Proportional to 1,071.12, 1,600.04 and 776.28

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Solution

The fourth proportional to 1,071.12, 1,600.04 and 776.28 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.12 : 1,600.04 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,071.12/1,600.04 = 776.28/x
  3. Step 3: Cross multiply
    1,071.12x = 1,600.04 × 776.28
  4. Step 4: Simplify right side
    1,071.12x = 1,242,079.05
  5. Step 5: Solve for x
    x = 1,242,079.05/1,071.12
  6. Step 6: Final answer
    x = 1,159.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.