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Finding the Fourth Proportional to 751.27, 1,036.23 and 440.77

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Solution

The fourth proportional to 751.27, 1,036.23 and 440.77 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.27 : 1,036.23 = 440.77 : x
  2. Step 2: Convert to fraction form
    751.27/1,036.23 = 440.77/x
  3. Step 3: Cross multiply
    751.27x = 1,036.23 × 440.77
  4. Step 4: Simplify right side
    751.27x = 456,739.10
  5. Step 5: Solve for x
    x = 456,739.10/751.27
  6. Step 6: Final answer
    x = 607.96

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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.