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Finding the Fourth Proportional to 945.57, 1,418.83 and 390.69

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Solution

The fourth proportional to 945.57, 1,418.83 and 390.69 is: 586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.57 : 1,418.83 = 390.69 : x
  2. Step 2: Convert to fraction form
    945.57/1,418.83 = 390.69/x
  3. Step 3: Cross multiply
    945.57x = 1,418.83 × 390.69
  4. Step 4: Simplify right side
    945.57x = 554,313.65
  5. Step 5: Solve for x
    x = 554,313.65/945.57
  6. Step 6: Final answer
    x = 586.22

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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.