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Finding the Fourth Proportional to 774.15, 1,068.70 and 522.14

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Solution

The fourth proportional to 774.15, 1,068.70 and 522.14 is: 720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.15 : 1,068.70 = 522.14 : x
  2. Step 2: Convert to fraction form
    774.15/1,068.70 = 522.14/x
  3. Step 3: Cross multiply
    774.15x = 1,068.70 × 522.14
  4. Step 4: Simplify right side
    774.15x = 558,011.02
  5. Step 5: Solve for x
    x = 558,011.02/774.15
  6. Step 6: Final answer
    x = 720.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.