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Finding the Fourth Proportional to 437.16, 659.55 and 389.64

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Solution

The fourth proportional to 437.16, 659.55 and 389.64 is: 587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.16 : 659.55 = 389.64 : x
  2. Step 2: Convert to fraction form
    437.16/659.55 = 389.64/x
  3. Step 3: Cross multiply
    437.16x = 659.55 × 389.64
  4. Step 4: Simplify right side
    437.16x = 256,987.06
  5. Step 5: Solve for x
    x = 256,987.06/437.16
  6. Step 6: Final answer
    x = 587.86

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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.