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Finding the Fourth Proportional to 657.86, 907.74 and 437.00

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Solution

The fourth proportional to 657.86, 907.74 and 437.00 is: 602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.86 : 907.74 = 437.00 : x
  2. Step 2: Convert to fraction form
    657.86/907.74 = 437.00/x
  3. Step 3: Cross multiply
    657.86x = 907.74 × 437.00
  4. Step 4: Simplify right side
    657.86x = 396,677.84
  5. Step 5: Solve for x
    x = 396,677.84/657.86
  6. Step 6: Final answer
    x = 602.99

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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.