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Finding the Fourth Proportional to 657.67, 907.83 and 436.70

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Solution

The fourth proportional to 657.67, 907.83 and 436.70 is: 602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.67 : 907.83 = 436.70 : x
  2. Step 2: Convert to fraction form
    657.67/907.83 = 436.70/x
  3. Step 3: Cross multiply
    657.67x = 907.83 × 436.70
  4. Step 4: Simplify right side
    657.67x = 396,449.36
  5. Step 5: Solve for x
    x = 396,449.36/657.67
  6. Step 6: Final answer
    x = 602.81

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Why These Related Problems?

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