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Finding the Fourth Proportional to 1,214.76, 1,677.40 and 773.44

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Solution

The fourth proportional to 1,214.76, 1,677.40 and 773.44 is: 1,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.76 : 1,677.40 = 773.44 : x
  2. Step 2: Convert to fraction form
    1,214.76/1,677.40 = 773.44/x
  3. Step 3: Cross multiply
    1,214.76x = 1,677.40 × 773.44
  4. Step 4: Simplify right side
    1,214.76x = 1,297,368.26
  5. Step 5: Solve for x
    x = 1,297,368.26/1,214.76
  6. Step 6: Final answer
    x = 1,068.00

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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.