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Finding the Fourth Proportional to 657.77, 907.70 and 377.81

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Solution

The fourth proportional to 657.77, 907.70 and 377.81 is: 521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 907.70 = 377.81 : x
  2. Step 2: Convert to fraction form
    657.77/907.70 = 377.81/x
  3. Step 3: Cross multiply
    657.77x = 907.70 × 377.81
  4. Step 4: Simplify right side
    657.77x = 342,938.14
  5. Step 5: Solve for x
    x = 342,938.14/657.77
  6. Step 6: Final answer
    x = 521.36

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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.