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Finding the Fourth Proportional to 430.06, 597.60 and 425.60

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Solution

The fourth proportional to 430.06, 597.60 and 425.60 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.06 : 597.60 = 425.60 : x
  2. Step 2: Convert to fraction form
    430.06/597.60 = 425.60/x
  3. Step 3: Cross multiply
    430.06x = 597.60 × 425.60
  4. Step 4: Simplify right side
    430.06x = 254,338.56
  5. Step 5: Solve for x
    x = 254,338.56/430.06
  6. Step 6: Final answer
    x = 591.40

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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.