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Finding the Fourth Proportional to 661.29, 991.73 and 530.99

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Solution

The fourth proportional to 661.29, 991.73 and 530.99 is: 796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.29 : 991.73 = 530.99 : x
  2. Step 2: Convert to fraction form
    661.29/991.73 = 530.99/x
  3. Step 3: Cross multiply
    661.29x = 991.73 × 530.99
  4. Step 4: Simplify right side
    661.29x = 526,593.75
  5. Step 5: Solve for x
    x = 526,593.75/661.29
  6. Step 6: Final answer
    x = 796.31

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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.