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Finding the Fourth Proportional to 898.85, 1,348.27 and 776.74

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Solution

The fourth proportional to 898.85, 1,348.27 and 776.74 is: 1,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.85 : 1,348.27 = 776.74 : x
  2. Step 2: Convert to fraction form
    898.85/1,348.27 = 776.74/x
  3. Step 3: Cross multiply
    898.85x = 1,348.27 × 776.74
  4. Step 4: Simplify right side
    898.85x = 1,047,255.24
  5. Step 5: Solve for x
    x = 1,047,255.24/898.85
  6. Step 6: Final answer
    x = 1,165.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.