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Finding the Fourth Proportional to 670.87, 925.93 and 405.36

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Solution

The fourth proportional to 670.87, 925.93 and 405.36 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 925.93 = 405.36 : x
  2. Step 2: Convert to fraction form
    670.87/925.93 = 405.36/x
  3. Step 3: Cross multiply
    670.87x = 925.93 × 405.36
  4. Step 4: Simplify right side
    670.87x = 375,334.98
  5. Step 5: Solve for x
    x = 375,334.98/670.87
  6. Step 6: Final answer
    x = 559.47

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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.