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Finding the Fourth Proportional to 965.99, 1,333.08 and 523.91

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Solution

The fourth proportional to 965.99, 1,333.08 and 523.91 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.99 : 1,333.08 = 523.91 : x
  2. Step 2: Convert to fraction form
    965.99/1,333.08 = 523.91/x
  3. Step 3: Cross multiply
    965.99x = 1,333.08 × 523.91
  4. Step 4: Simplify right side
    965.99x = 698,417.28
  5. Step 5: Solve for x
    x = 698,417.28/965.99
  6. Step 6: Final answer
    x = 723.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.