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Finding the Fourth Proportional to 660.37, 990.56 and 584.23

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Solution

The fourth proportional to 660.37, 990.56 and 584.23 is: 876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.37 : 990.56 = 584.23 : x
  2. Step 2: Convert to fraction form
    660.37/990.56 = 584.23/x
  3. Step 3: Cross multiply
    660.37x = 990.56 × 584.23
  4. Step 4: Simplify right side
    660.37x = 578,714.87
  5. Step 5: Solve for x
    x = 578,714.87/660.37
  6. Step 6: Final answer
    x = 876.35

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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.