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Finding the Fourth Proportional to 677.04, 1,014.21 and 522.45

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Solution

The fourth proportional to 677.04, 1,014.21 and 522.45 is: 782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 1,014.21 = 522.45 : x
  2. Step 2: Convert to fraction form
    677.04/1,014.21 = 522.45/x
  3. Step 3: Cross multiply
    677.04x = 1,014.21 × 522.45
  4. Step 4: Simplify right side
    677.04x = 529,874.01
  5. Step 5: Solve for x
    x = 529,874.01/677.04
  6. Step 6: Final answer
    x = 782.63

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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.