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Finding the Fourth Proportional to 571.68, 783.23 and 549.81

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Solution

The fourth proportional to 571.68, 783.23 and 549.81 is: 753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 783.23 = 549.81 : x
  2. Step 2: Convert to fraction form
    571.68/783.23 = 549.81/x
  3. Step 3: Cross multiply
    571.68x = 783.23 × 549.81
  4. Step 4: Simplify right side
    571.68x = 430,624.94
  5. Step 5: Solve for x
    x = 430,624.94/571.68
  6. Step 6: Final answer
    x = 753.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.