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Finding the Fourth Proportional to 523.05, 783.04 and 386.71

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Solution

The fourth proportional to 523.05, 783.04 and 386.71 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 783.04 = 386.71 : x
  2. Step 2: Convert to fraction form
    523.05/783.04 = 386.71/x
  3. Step 3: Cross multiply
    523.05x = 783.04 × 386.71
  4. Step 4: Simplify right side
    523.05x = 302,806.47
  5. Step 5: Solve for x
    x = 302,806.47/523.05
  6. Step 6: Final answer
    x = 578.92

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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.