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Finding the Fourth Proportional to 672.64, 1,005.04 and 543.04

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Solution

The fourth proportional to 672.64, 1,005.04 and 543.04 is: 811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.64 : 1,005.04 = 543.04 : x
  2. Step 2: Convert to fraction form
    672.64/1,005.04 = 543.04/x
  3. Step 3: Cross multiply
    672.64x = 1,005.04 × 543.04
  4. Step 4: Simplify right side
    672.64x = 545,776.92
  5. Step 5: Solve for x
    x = 545,776.92/672.64
  6. Step 6: Final answer
    x = 811.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.