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Finding the Fourth Proportional to 1,215.70, 1,677.90 and 774.10

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Solution

The fourth proportional to 1,215.70, 1,677.90 and 774.10 is: 1,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.70 : 1,677.90 = 774.10 : x
  2. Step 2: Convert to fraction form
    1,215.70/1,677.90 = 774.10/x
  3. Step 3: Cross multiply
    1,215.70x = 1,677.90 × 774.10
  4. Step 4: Simplify right side
    1,215.70x = 1,298,862.39
  5. Step 5: Solve for x
    x = 1,298,862.39/1,215.70
  6. Step 6: Final answer
    x = 1,068.41

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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.