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Finding the Fourth Proportional to 589.32, 812.88 and 448.92

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Solution

The fourth proportional to 589.32, 812.88 and 448.92 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 812.88 = 448.92 : x
  2. Step 2: Convert to fraction form
    589.32/812.88 = 448.92/x
  3. Step 3: Cross multiply
    589.32x = 812.88 × 448.92
  4. Step 4: Simplify right side
    589.32x = 364,918.09
  5. Step 5: Solve for x
    x = 364,918.09/589.32
  6. Step 6: Final answer
    x = 619.22

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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.