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Finding the Fourth Proportional to 964.23, 1,444.75 and 810.23

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Solution

The fourth proportional to 964.23, 1,444.75 and 810.23 is: 1,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.23 : 1,444.75 = 810.23 : x
  2. Step 2: Convert to fraction form
    964.23/1,444.75 = 810.23/x
  3. Step 3: Cross multiply
    964.23x = 1,444.75 × 810.23
  4. Step 4: Simplify right side
    964.23x = 1,170,581.82
  5. Step 5: Solve for x
    x = 1,170,581.82/964.23
  6. Step 6: Final answer
    x = 1,214.00

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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.