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Finding the Fourth Proportional to 867.21, 1,302.76 and 750.49

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Solution

The fourth proportional to 867.21, 1,302.76 and 750.49 is: 1,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.21 : 1,302.76 = 750.49 : x
  2. Step 2: Convert to fraction form
    867.21/1,302.76 = 750.49/x
  3. Step 3: Cross multiply
    867.21x = 1,302.76 × 750.49
  4. Step 4: Simplify right side
    867.21x = 977,707.59
  5. Step 5: Solve for x
    x = 977,707.59/867.21
  6. Step 6: Final answer
    x = 1,127.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.