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Finding the Fourth Proportional to 672.79, 1,009.41 and 576

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Solution

The fourth proportional to 672.79, 1,009.41 and 576 is: 864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.79 : 1,009.41 = 576 : x
  2. Step 2: Convert to fraction form
    672.79/1,009.41 = 576/x
  3. Step 3: Cross multiply
    672.79x = 1,009.41 × 576
  4. Step 4: Simplify right side
    672.79x = 581,420.16
  5. Step 5: Solve for x
    x = 581,420.16/672.79
  6. Step 6: Final answer
    x = 864.19

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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.