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Finding the Fourth Proportional to 673.30, 1,010.58 and 669.70

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Solution

The fourth proportional to 673.30, 1,010.58 and 669.70 is: 1,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.30 : 1,010.58 = 669.70 : x
  2. Step 2: Convert to fraction form
    673.30/1,010.58 = 669.70/x
  3. Step 3: Cross multiply
    673.30x = 1,010.58 × 669.70
  4. Step 4: Simplify right side
    673.30x = 676,785.43
  5. Step 5: Solve for x
    x = 676,785.43/673.30
  6. Step 6: Final answer
    x = 1,005.18

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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.