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Finding the Fourth Proportional to 491.05, 677.59 and 392.77

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Solution

The fourth proportional to 491.05, 677.59 and 392.77 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.05 : 677.59 = 392.77 : x
  2. Step 2: Convert to fraction form
    491.05/677.59 = 392.77/x
  3. Step 3: Cross multiply
    491.05x = 677.59 × 392.77
  4. Step 4: Simplify right side
    491.05x = 266,137.02
  5. Step 5: Solve for x
    x = 266,137.02/491.05
  6. Step 6: Final answer
    x = 541.98

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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.