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Finding the Fourth Proportional to 437.74, 659.61 and 362.40

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Solution

The fourth proportional to 437.74, 659.61 and 362.40 is: 546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.74 : 659.61 = 362.40 : x
  2. Step 2: Convert to fraction form
    437.74/659.61 = 362.40/x
  3. Step 3: Cross multiply
    437.74x = 659.61 × 362.40
  4. Step 4: Simplify right side
    437.74x = 239,040.19
  5. Step 5: Solve for x
    x = 239,040.19/437.74
  6. Step 6: Final answer
    x = 546.08

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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.