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Finding the Fourth Proportional to 889.10, 1,334.12 and 456.26

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Solution

The fourth proportional to 889.10, 1,334.12 and 456.26 is: 684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.10 : 1,334.12 = 456.26 : x
  2. Step 2: Convert to fraction form
    889.10/1,334.12 = 456.26/x
  3. Step 3: Cross multiply
    889.10x = 1,334.12 × 456.26
  4. Step 4: Simplify right side
    889.10x = 608,702.96
  5. Step 5: Solve for x
    x = 608,702.96/889.10
  6. Step 6: Final answer
    x = 684.63

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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.