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Finding the Fourth Proportional to 910.89, 1,257.21 and 777.63

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Solution

The fourth proportional to 910.89, 1,257.21 and 777.63 is: 1,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.89 : 1,257.21 = 777.63 : x
  2. Step 2: Convert to fraction form
    910.89/1,257.21 = 777.63/x
  3. Step 3: Cross multiply
    910.89x = 1,257.21 × 777.63
  4. Step 4: Simplify right side
    910.89x = 977,644.21
  5. Step 5: Solve for x
    x = 977,644.21/910.89
  6. Step 6: Final answer
    x = 1,073.28

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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.