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Finding the Fourth Proportional to 654.90, 977.21 and 546.90

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Solution

The fourth proportional to 654.90, 977.21 and 546.90 is: 816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 977.21 = 546.90 : x
  2. Step 2: Convert to fraction form
    654.90/977.21 = 546.90/x
  3. Step 3: Cross multiply
    654.90x = 977.21 × 546.90
  4. Step 4: Simplify right side
    654.90x = 534,433.41
  5. Step 5: Solve for x
    x = 534,433.41/654.90
  6. Step 6: Final answer
    x = 816.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.