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Finding the Fourth Proportional to 890.37, 1,335.56 and 584.16

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Solution

The fourth proportional to 890.37, 1,335.56 and 584.16 is: 876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.37 : 1,335.56 = 584.16 : x
  2. Step 2: Convert to fraction form
    890.37/1,335.56 = 584.16/x
  3. Step 3: Cross multiply
    890.37x = 1,335.56 × 584.16
  4. Step 4: Simplify right side
    890.37x = 780,174.47
  5. Step 5: Solve for x
    x = 780,174.47/890.37
  6. Step 6: Final answer
    x = 876.24

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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.