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Finding the Fourth Proportional to 672.96, 1,009.98 and 669.72

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Solution

The fourth proportional to 672.96, 1,009.98 and 669.72 is: 1,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.96 : 1,009.98 = 669.72 : x
  2. Step 2: Convert to fraction form
    672.96/1,009.98 = 669.72/x
  3. Step 3: Cross multiply
    672.96x = 1,009.98 × 669.72
  4. Step 4: Simplify right side
    672.96x = 676,403.81
  5. Step 5: Solve for x
    x = 676,403.81/672.96
  6. Step 6: Final answer
    x = 1,005.12

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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.