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Finding the Fourth Proportional to 750.84, 1,126.83 and 521.34

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Solution

The fourth proportional to 750.84, 1,126.83 and 521.34 is: 782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.84 : 1,126.83 = 521.34 : x
  2. Step 2: Convert to fraction form
    750.84/1,126.83 = 521.34/x
  3. Step 3: Cross multiply
    750.84x = 1,126.83 × 521.34
  4. Step 4: Simplify right side
    750.84x = 587,461.55
  5. Step 5: Solve for x
    x = 587,461.55/750.84
  6. Step 6: Final answer
    x = 782.41

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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.