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Finding the Fourth Proportional to 657.80, 907.68 and 378.08

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Solution

The fourth proportional to 657.80, 907.68 and 378.08 is: 521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 907.68 = 378.08 : x
  2. Step 2: Convert to fraction form
    657.80/907.68 = 378.08/x
  3. Step 3: Cross multiply
    657.80x = 907.68 × 378.08
  4. Step 4: Simplify right side
    657.80x = 343,175.65
  5. Step 5: Solve for x
    x = 343,175.65/657.80
  6. Step 6: Final answer
    x = 521.70

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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.