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Finding the Fourth Proportional to 1,217.14, 1,678.45 and 774.88

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Solution

The fourth proportional to 1,217.14, 1,678.45 and 774.88 is: 1,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.14 : 1,678.45 = 774.88 : x
  2. Step 2: Convert to fraction form
    1,217.14/1,678.45 = 774.88/x
  3. Step 3: Cross multiply
    1,217.14x = 1,678.45 × 774.88
  4. Step 4: Simplify right side
    1,217.14x = 1,300,597.34
  5. Step 5: Solve for x
    x = 1,300,597.34/1,217.14
  6. Step 6: Final answer
    x = 1,068.57

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1.5x scale

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.