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Finding the Fourth Proportional to 425.52, 590.04 and 417.60

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Solution

The fourth proportional to 425.52, 590.04 and 417.60 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 590.04 = 417.60 : x
  2. Step 2: Convert to fraction form
    425.52/590.04 = 417.60/x
  3. Step 3: Cross multiply
    425.52x = 590.04 × 417.60
  4. Step 4: Simplify right side
    425.52x = 246,400.70
  5. Step 5: Solve for x
    x = 246,400.70/425.52
  6. Step 6: Final answer
    x = 579.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.