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Finding the Fourth Proportional to 657.75, 907.70 and 381.75

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Solution

The fourth proportional to 657.75, 907.70 and 381.75 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 907.70 = 381.75 : x
  2. Step 2: Convert to fraction form
    657.75/907.70 = 381.75/x
  3. Step 3: Cross multiply
    657.75x = 907.70 × 381.75
  4. Step 4: Simplify right side
    657.75x = 346,514.48
  5. Step 5: Solve for x
    x = 346,514.48/657.75
  6. Step 6: Final answer
    x = 526.82

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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.