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Finding the Fourth Proportional to 657.16, 907.56 and 448.26

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Solution

The fourth proportional to 657.16, 907.56 and 448.26 is: 619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 907.56 = 448.26 : x
  2. Step 2: Convert to fraction form
    657.16/907.56 = 448.26/x
  3. Step 3: Cross multiply
    657.16x = 907.56 × 448.26
  4. Step 4: Simplify right side
    657.16x = 406,822.85
  5. Step 5: Solve for x
    x = 406,822.85/657.16
  6. Step 6: Final answer
    x = 619.06

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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.