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Finding the Fourth Proportional to 437.40, 659.34 and 390.96

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Solution

The fourth proportional to 437.40, 659.34 and 390.96 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 659.34 = 390.96 : x
  2. Step 2: Convert to fraction form
    437.40/659.34 = 390.96/x
  3. Step 3: Cross multiply
    437.40x = 659.34 × 390.96
  4. Step 4: Simplify right side
    437.40x = 257,775.57
  5. Step 5: Solve for x
    x = 257,775.57/437.40
  6. Step 6: Final answer
    x = 589.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.