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Finding the Fourth Proportional to 657.12, 907.75 and 598.01

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Solution

The fourth proportional to 657.12, 907.75 and 598.01 is: 826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.12 : 907.75 = 598.01 : x
  2. Step 2: Convert to fraction form
    657.12/907.75 = 598.01/x
  3. Step 3: Cross multiply
    657.12x = 907.75 × 598.01
  4. Step 4: Simplify right side
    657.12x = 542,837.54
  5. Step 5: Solve for x
    x = 542,837.54/657.12
  6. Step 6: Final answer
    x = 826.09

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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.