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Finding the Fourth Proportional to 656.24, 905.74 and 390.74

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Solution

The fourth proportional to 656.24, 905.74 and 390.74 is: 539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 905.74 = 390.74 : x
  2. Step 2: Convert to fraction form
    656.24/905.74 = 390.74/x
  3. Step 3: Cross multiply
    656.24x = 905.74 × 390.74
  4. Step 4: Simplify right side
    656.24x = 353,908.85
  5. Step 5: Solve for x
    x = 353,908.85/656.24
  6. Step 6: Final answer
    x = 539.30

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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.