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Finding the Fourth Proportional to 700.29, 1,049.62 and 375.89

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Solution

The fourth proportional to 700.29, 1,049.62 and 375.89 is: 563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.29 : 1,049.62 = 375.89 : x
  2. Step 2: Convert to fraction form
    700.29/1,049.62 = 375.89/x
  3. Step 3: Cross multiply
    700.29x = 1,049.62 × 375.89
  4. Step 4: Simplify right side
    700.29x = 394,541.66
  5. Step 5: Solve for x
    x = 394,541.66/700.29
  6. Step 6: Final answer
    x = 563.40

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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.