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Finding the Fourth Proportional to 889.24, 1,333.88 and 456.16

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Solution

The fourth proportional to 889.24, 1,333.88 and 456.16 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.24 : 1,333.88 = 456.16 : x
  2. Step 2: Convert to fraction form
    889.24/1,333.88 = 456.16/x
  3. Step 3: Cross multiply
    889.24x = 1,333.88 × 456.16
  4. Step 4: Simplify right side
    889.24x = 608,462.70
  5. Step 5: Solve for x
    x = 608,462.70/889.24
  6. Step 6: Final answer
    x = 684.25

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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.