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Finding the Fourth Proportional to 677.19, 1,011.03 and 546.68

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Solution

The fourth proportional to 677.19, 1,011.03 and 546.68 is: 816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.19 : 1,011.03 = 546.68 : x
  2. Step 2: Convert to fraction form
    677.19/1,011.03 = 546.68/x
  3. Step 3: Cross multiply
    677.19x = 1,011.03 × 546.68
  4. Step 4: Simplify right side
    677.19x = 552,709.88
  5. Step 5: Solve for x
    x = 552,709.88/677.19
  6. Step 6: Final answer
    x = 816.18

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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.