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Finding the Fourth Proportional to 673.90, 1,013.10 and 553.06

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Solution

The fourth proportional to 673.90, 1,013.10 and 553.06 is: 831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.90 : 1,013.10 = 553.06 : x
  2. Step 2: Convert to fraction form
    673.90/1,013.10 = 553.06/x
  3. Step 3: Cross multiply
    673.90x = 1,013.10 × 553.06
  4. Step 4: Simplify right side
    673.90x = 560,305.09
  5. Step 5: Solve for x
    x = 560,305.09/673.90
  6. Step 6: Final answer
    x = 831.44

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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.