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Finding the Fourth Proportional to 661.77, 992.52 and 387.63

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Solution

The fourth proportional to 661.77, 992.52 and 387.63 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 992.52 = 387.63 : x
  2. Step 2: Convert to fraction form
    661.77/992.52 = 387.63/x
  3. Step 3: Cross multiply
    661.77x = 992.52 × 387.63
  4. Step 4: Simplify right side
    661.77x = 384,730.53
  5. Step 5: Solve for x
    x = 384,730.53/661.77
  6. Step 6: Final answer
    x = 581.37

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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.