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Finding the Fourth Proportional to 657.35, 907.14 and 377.59

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Solution

The fourth proportional to 657.35, 907.14 and 377.59 is: 521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.35 : 907.14 = 377.59 : x
  2. Step 2: Convert to fraction form
    657.35/907.14 = 377.59/x
  3. Step 3: Cross multiply
    657.35x = 907.14 × 377.59
  4. Step 4: Simplify right side
    657.35x = 342,522.46
  5. Step 5: Solve for x
    x = 342,522.46/657.35
  6. Step 6: Final answer
    x = 521.07

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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.