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Finding the Fourth Proportional to 664, 989.40 and 591.30

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Solution

The fourth proportional to 664, 989.40 and 591.30 is: 881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 989.40 = 591.30 : x
  2. Step 2: Convert to fraction form
    664/989.40 = 591.30/x
  3. Step 3: Cross multiply
    664x = 989.40 × 591.30
  4. Step 4: Simplify right side
    664x = 585,032.22
  5. Step 5: Solve for x
    x = 585,032.22/664
  6. Step 6: Final answer
    x = 881.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.