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Finding the Fourth Proportional to 657.55, 907.66 and 436.57

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Solution

The fourth proportional to 657.55, 907.66 and 436.57 is: 602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 907.66 = 436.57 : x
  2. Step 2: Convert to fraction form
    657.55/907.66 = 436.57/x
  3. Step 3: Cross multiply
    657.55x = 907.66 × 436.57
  4. Step 4: Simplify right side
    657.55x = 396,257.13
  5. Step 5: Solve for x
    x = 396,257.13/657.55
  6. Step 6: Final answer
    x = 602.63

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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.