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Finding the Fourth Proportional to 677.39, 1,014.59 and 522.18

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Solution

The fourth proportional to 677.39, 1,014.59 and 522.18 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.39 : 1,014.59 = 522.18 : x
  2. Step 2: Convert to fraction form
    677.39/1,014.59 = 522.18/x
  3. Step 3: Cross multiply
    677.39x = 1,014.59 × 522.18
  4. Step 4: Simplify right side
    677.39x = 529,799.91
  5. Step 5: Solve for x
    x = 529,799.91/677.39
  6. Step 6: Final answer
    x = 782.13

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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.