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Finding the Fourth Proportional to 700.05, 1,050.54 and 289.18

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Solution

The fourth proportional to 700.05, 1,050.54 and 289.18 is: 433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.05 : 1,050.54 = 289.18 : x
  2. Step 2: Convert to fraction form
    700.05/1,050.54 = 289.18/x
  3. Step 3: Cross multiply
    700.05x = 1,050.54 × 289.18
  4. Step 4: Simplify right side
    700.05x = 303,790.63
  5. Step 5: Solve for x
    x = 303,790.63/700.05
  6. Step 6: Final answer
    x = 433.96

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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.