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Finding the Fourth Proportional to 890.88, 1,335.96 and 649.20

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Solution

The fourth proportional to 890.88, 1,335.96 and 649.20 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.88 : 1,335.96 = 649.20 : x
  2. Step 2: Convert to fraction form
    890.88/1,335.96 = 649.20/x
  3. Step 3: Cross multiply
    890.88x = 1,335.96 × 649.20
  4. Step 4: Simplify right side
    890.88x = 867,305.23
  5. Step 5: Solve for x
    x = 867,305.23/890.88
  6. Step 6: Final answer
    x = 973.54

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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.