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Finding the Fourth Proportional to 670.94, 925.91 and 434.98

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Solution

The fourth proportional to 670.94, 925.91 and 434.98 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.94 : 925.91 = 434.98 : x
  2. Step 2: Convert to fraction form
    670.94/925.91 = 434.98/x
  3. Step 3: Cross multiply
    670.94x = 925.91 × 434.98
  4. Step 4: Simplify right side
    670.94x = 402,754.68
  5. Step 5: Solve for x
    x = 402,754.68/670.94
  6. Step 6: Final answer
    x = 600.28

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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.