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Finding the Fourth Proportional to 657.15, 907.40 and 447.77

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Solution

The fourth proportional to 657.15, 907.40 and 447.77 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.15 : 907.40 = 447.77 : x
  2. Step 2: Convert to fraction form
    657.15/907.40 = 447.77/x
  3. Step 3: Cross multiply
    657.15x = 907.40 × 447.77
  4. Step 4: Simplify right side
    657.15x = 406,306.50
  5. Step 5: Solve for x
    x = 406,306.50/657.15
  6. Step 6: Final answer
    x = 618.29

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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.