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Finding the Fourth Proportional to 559.51, 772.14 and 323.47

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Solution

The fourth proportional to 559.51, 772.14 and 323.47 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.51 : 772.14 = 323.47 : x
  2. Step 2: Convert to fraction form
    559.51/772.14 = 323.47/x
  3. Step 3: Cross multiply
    559.51x = 772.14 × 323.47
  4. Step 4: Simplify right side
    559.51x = 249,764.13
  5. Step 5: Solve for x
    x = 249,764.13/559.51
  6. Step 6: Final answer
    x = 446.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.