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Finding the Fourth Proportional to 670.90, 1,007.21 and 516.93

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Solution

The fourth proportional to 670.90, 1,007.21 and 516.93 is: 776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.90 : 1,007.21 = 516.93 : x
  2. Step 2: Convert to fraction form
    670.90/1,007.21 = 516.93/x
  3. Step 3: Cross multiply
    670.90x = 1,007.21 × 516.93
  4. Step 4: Simplify right side
    670.90x = 520,657.07
  5. Step 5: Solve for x
    x = 520,657.07/670.90
  6. Step 6: Final answer
    x = 776.06

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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.