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Finding the Fourth Proportional to 430.44, 590.34 and 424.32

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Solution

The fourth proportional to 430.44, 590.34 and 424.32 is: 581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 590.34 = 424.32 : x
  2. Step 2: Convert to fraction form
    430.44/590.34 = 424.32/x
  3. Step 3: Cross multiply
    430.44x = 590.34 × 424.32
  4. Step 4: Simplify right side
    430.44x = 250,493.07
  5. Step 5: Solve for x
    x = 250,493.07/430.44
  6. Step 6: Final answer
    x = 581.95

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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.