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Finding the Fourth Proportional to 556.40, 764.59 and 531.02

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Solution

The fourth proportional to 556.40, 764.59 and 531.02 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.40 : 764.59 = 531.02 : x
  2. Step 2: Convert to fraction form
    556.40/764.59 = 531.02/x
  3. Step 3: Cross multiply
    556.40x = 764.59 × 531.02
  4. Step 4: Simplify right side
    556.40x = 406,012.58
  5. Step 5: Solve for x
    x = 406,012.58/556.40
  6. Step 6: Final answer
    x = 729.71

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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.