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Finding the Fourth Proportional to 700.67, 1,051.01 and 411.50

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Solution

The fourth proportional to 700.67, 1,051.01 and 411.50 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.67 : 1,051.01 = 411.50 : x
  2. Step 2: Convert to fraction form
    700.67/1,051.01 = 411.50/x
  3. Step 3: Cross multiply
    700.67x = 1,051.01 × 411.50
  4. Step 4: Simplify right side
    700.67x = 432,490.62
  5. Step 5: Solve for x
    x = 432,490.62/700.67
  6. Step 6: Final answer
    x = 617.25

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Double scale
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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.