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Finding the Fourth Proportional to 840.14, 1,260.32 and 407

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Solution

The fourth proportional to 840.14, 1,260.32 and 407 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.14 : 1,260.32 = 407 : x
  2. Step 2: Convert to fraction form
    840.14/1,260.32 = 407/x
  3. Step 3: Cross multiply
    840.14x = 1,260.32 × 407
  4. Step 4: Simplify right side
    840.14x = 512,950.24
  5. Step 5: Solve for x
    x = 512,950.24/840.14
  6. Step 6: Final answer
    x = 610.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.