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Finding the Fourth Proportional to 756.74, 1,048.50 and 740.33

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Solution

The fourth proportional to 756.74, 1,048.50 and 740.33 is: 1,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.74 : 1,048.50 = 740.33 : x
  2. Step 2: Convert to fraction form
    756.74/1,048.50 = 740.33/x
  3. Step 3: Cross multiply
    756.74x = 1,048.50 × 740.33
  4. Step 4: Simplify right side
    756.74x = 776,232.30
  5. Step 5: Solve for x
    x = 776,232.30/756.74
  6. Step 6: Final answer
    x = 1,025.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.