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Finding the Fourth Proportional to 910.96, 1,257.06 and 714.94

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Solution

The fourth proportional to 910.96, 1,257.06 and 714.94 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.96 : 1,257.06 = 714.94 : x
  2. Step 2: Convert to fraction form
    910.96/1,257.06 = 714.94/x
  3. Step 3: Cross multiply
    910.96x = 1,257.06 × 714.94
  4. Step 4: Simplify right side
    910.96x = 898,722.48
  5. Step 5: Solve for x
    x = 898,722.48/910.96
  6. Step 6: Final answer
    x = 986.57

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