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Finding the Fourth Proportional to 670.75, 1,006.63 and 410.94

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Solution

The fourth proportional to 670.75, 1,006.63 and 410.94 is: 616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.75 : 1,006.63 = 410.94 : x
  2. Step 2: Convert to fraction form
    670.75/1,006.63 = 410.94/x
  3. Step 3: Cross multiply
    670.75x = 1,006.63 × 410.94
  4. Step 4: Simplify right side
    670.75x = 413,663.50
  5. Step 5: Solve for x
    x = 413,663.50/670.75
  6. Step 6: Final answer
    x = 616.72

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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.