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Finding the Fourth Proportional to 437.90, 600.38 and 430.10

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Solution

The fourth proportional to 437.90, 600.38 and 430.10 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 600.38 = 430.10 : x
  2. Step 2: Convert to fraction form
    437.90/600.38 = 430.10/x
  3. Step 3: Cross multiply
    437.90x = 600.38 × 430.10
  4. Step 4: Simplify right side
    437.90x = 258,220.44
  5. Step 5: Solve for x
    x = 258,220.44/437.90
  6. Step 6: Final answer
    x = 589.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.