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Finding the Fourth Proportional to 430.80, 589.37 and 429.58

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Solution

The fourth proportional to 430.80, 589.37 and 429.58 is: 587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 589.37 = 429.58 : x
  2. Step 2: Convert to fraction form
    430.80/589.37 = 429.58/x
  3. Step 3: Cross multiply
    430.80x = 589.37 × 429.58
  4. Step 4: Simplify right side
    430.80x = 253,181.56
  5. Step 5: Solve for x
    x = 253,181.56/430.80
  6. Step 6: Final answer
    x = 587.70

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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.