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Finding the Fourth Proportional to 700.35, 1,050.13 and 289.15

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Solution

The fourth proportional to 700.35, 1,050.13 and 289.15 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.35 : 1,050.13 = 289.15 : x
  2. Step 2: Convert to fraction form
    700.35/1,050.13 = 289.15/x
  3. Step 3: Cross multiply
    700.35x = 1,050.13 × 289.15
  4. Step 4: Simplify right side
    700.35x = 303,645.09
  5. Step 5: Solve for x
    x = 303,645.09/700.35
  6. Step 6: Final answer
    x = 433.56

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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.