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Finding the Fourth Proportional to 670.91, 1,006.51 and 280.71

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Solution

The fourth proportional to 670.91, 1,006.51 and 280.71 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.91 : 1,006.51 = 280.71 : x
  2. Step 2: Convert to fraction form
    670.91/1,006.51 = 280.71/x
  3. Step 3: Cross multiply
    670.91x = 1,006.51 × 280.71
  4. Step 4: Simplify right side
    670.91x = 282,537.25
  5. Step 5: Solve for x
    x = 282,537.25/670.91
  6. Step 6: Final answer
    x = 421.13

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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.