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Finding the Fourth Proportional to 589.64, 884.61 and 416.65

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Solution

The fourth proportional to 589.64, 884.61 and 416.65 is: 625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 884.61 = 416.65 : x
  2. Step 2: Convert to fraction form
    589.64/884.61 = 416.65/x
  3. Step 3: Cross multiply
    589.64x = 884.61 × 416.65
  4. Step 4: Simplify right side
    589.64x = 368,570.67
  5. Step 5: Solve for x
    x = 368,570.67/589.64
  6. Step 6: Final answer
    x = 625.08

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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.