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Finding the Fourth Proportional to 749.86, 1,119.37 and 647.80

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Solution

The fourth proportional to 749.86, 1,119.37 and 647.80 is: 967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.86 : 1,119.37 = 647.80 : x
  2. Step 2: Convert to fraction form
    749.86/1,119.37 = 647.80/x
  3. Step 3: Cross multiply
    749.86x = 1,119.37 × 647.80
  4. Step 4: Simplify right side
    749.86x = 725,124.65
  5. Step 5: Solve for x
    x = 725,124.65/749.86
  6. Step 6: Final answer
    x = 967.01

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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.