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Finding the Fourth Proportional to 754.68, 1,130.80 and 571.82

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Solution

The fourth proportional to 754.68, 1,130.80 and 571.82 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.68 : 1,130.80 = 571.82 : x
  2. Step 2: Convert to fraction form
    754.68/1,130.80 = 571.82/x
  3. Step 3: Cross multiply
    754.68x = 1,130.80 × 571.82
  4. Step 4: Simplify right side
    754.68x = 646,614.06
  5. Step 5: Solve for x
    x = 646,614.06/754.68
  6. Step 6: Final answer
    x = 856.81

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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.