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Finding the Fourth Proportional to 750.34, 1,126.08 and 520.84

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Solution

The fourth proportional to 750.34, 1,126.08 and 520.84 is: 781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.34 : 1,126.08 = 520.84 : x
  2. Step 2: Convert to fraction form
    750.34/1,126.08 = 520.84/x
  3. Step 3: Cross multiply
    750.34x = 1,126.08 × 520.84
  4. Step 4: Simplify right side
    750.34x = 586,501.88
  5. Step 5: Solve for x
    x = 586,501.88/750.34
  6. Step 6: Final answer
    x = 781.65

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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.