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Finding the Fourth Proportional to 659.10, 910.32 and 437.66

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Solution

The fourth proportional to 659.10, 910.32 and 437.66 is: 604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.10 : 910.32 = 437.66 : x
  2. Step 2: Convert to fraction form
    659.10/910.32 = 437.66/x
  3. Step 3: Cross multiply
    659.10x = 910.32 × 437.66
  4. Step 4: Simplify right side
    659.10x = 398,415.45
  5. Step 5: Solve for x
    x = 398,415.45/659.10
  6. Step 6: Final answer
    x = 604.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.