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Finding the Fourth Proportional to 677.47, 1,015.59 and 351.85

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Solution

The fourth proportional to 677.47, 1,015.59 and 351.85 is: 527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 1,015.59 = 351.85 : x
  2. Step 2: Convert to fraction form
    677.47/1,015.59 = 351.85/x
  3. Step 3: Cross multiply
    677.47x = 1,015.59 × 351.85
  4. Step 4: Simplify right side
    677.47x = 357,335.34
  5. Step 5: Solve for x
    x = 357,335.34/677.47
  6. Step 6: Final answer
    x = 527.46

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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.