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Finding the Fourth Proportional to 657.25, 907.00 and 362.53

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Solution

The fourth proportional to 657.25, 907.00 and 362.53 is: 500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.25 : 907.00 = 362.53 : x
  2. Step 2: Convert to fraction form
    657.25/907.00 = 362.53/x
  3. Step 3: Cross multiply
    657.25x = 907.00 × 362.53
  4. Step 4: Simplify right side
    657.25x = 328,809.84
  5. Step 5: Solve for x
    x = 328,809.84/657.25
  6. Step 6: Final answer
    x = 500.28

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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.