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Finding the Fourth Proportional to 657.52, 907.44 and 405.58

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Solution

The fourth proportional to 657.52, 907.44 and 405.58 is: 559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.52 : 907.44 = 405.58 : x
  2. Step 2: Convert to fraction form
    657.52/907.44 = 405.58/x
  3. Step 3: Cross multiply
    657.52x = 907.44 × 405.58
  4. Step 4: Simplify right side
    657.52x = 368,039.52
  5. Step 5: Solve for x
    x = 368,039.52/657.52
  6. Step 6: Final answer
    x = 559.74

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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.