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Finding the Fourth Proportional to 673.74, 1,006.77 and 505.87

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Solution

The fourth proportional to 673.74, 1,006.77 and 505.87 is: 755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.74 : 1,006.77 = 505.87 : x
  2. Step 2: Convert to fraction form
    673.74/1,006.77 = 505.87/x
  3. Step 3: Cross multiply
    673.74x = 1,006.77 × 505.87
  4. Step 4: Simplify right side
    673.74x = 509,294.74
  5. Step 5: Solve for x
    x = 509,294.74/673.74
  6. Step 6: Final answer
    x = 755.92

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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.