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Finding the Fourth Proportional to 677.60, 1,016.82 and 353.19

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Solution

The fourth proportional to 677.60, 1,016.82 and 353.19 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 1,016.82 = 353.19 : x
  2. Step 2: Convert to fraction form
    677.60/1,016.82 = 353.19/x
  3. Step 3: Cross multiply
    677.60x = 1,016.82 × 353.19
  4. Step 4: Simplify right side
    677.60x = 359,130.66
  5. Step 5: Solve for x
    x = 359,130.66/677.60
  6. Step 6: Final answer
    x = 530.01

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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.