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Finding the Fourth Proportional to 1,087.08, 1,499.28 and 644.64

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Solution

The fourth proportional to 1,087.08, 1,499.28 and 644.64 is: 889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.08 : 1,499.28 = 644.64 : x
  2. Step 2: Convert to fraction form
    1,087.08/1,499.28 = 644.64/x
  3. Step 3: Cross multiply
    1,087.08x = 1,499.28 × 644.64
  4. Step 4: Simplify right side
    1,087.08x = 966,495.86
  5. Step 5: Solve for x
    x = 966,495.86/1,087.08
  6. Step 6: Final answer
    x = 889.08

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Why These Related Problems?

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