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Finding the Fourth Proportional to 657.33, 907.15 and 377.65

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Solution

The fourth proportional to 657.33, 907.15 and 377.65 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.33 : 907.15 = 377.65 : x
  2. Step 2: Convert to fraction form
    657.33/907.15 = 377.65/x
  3. Step 3: Cross multiply
    657.33x = 907.15 × 377.65
  4. Step 4: Simplify right side
    657.33x = 342,578.77
  5. Step 5: Solve for x
    x = 342,578.77/657.33
  6. Step 6: Final answer
    x = 521.17

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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.