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Finding the Fourth Proportional to 845.87, 1,269.14 and 435.12

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Solution

The fourth proportional to 845.87, 1,269.14 and 435.12 is: 652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.87 : 1,269.14 = 435.12 : x
  2. Step 2: Convert to fraction form
    845.87/1,269.14 = 435.12/x
  3. Step 3: Cross multiply
    845.87x = 1,269.14 × 435.12
  4. Step 4: Simplify right side
    845.87x = 552,232.07
  5. Step 5: Solve for x
    x = 552,232.07/845.87
  6. Step 6: Final answer
    x = 652.86

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Why These Related Problems?

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