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Finding the Fourth Proportional to 654.76, 903.58 and 392.78

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Solution

The fourth proportional to 654.76, 903.58 and 392.78 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 903.58 = 392.78 : x
  2. Step 2: Convert to fraction form
    654.76/903.58 = 392.78/x
  3. Step 3: Cross multiply
    654.76x = 903.58 × 392.78
  4. Step 4: Simplify right side
    654.76x = 354,909.43
  5. Step 5: Solve for x
    x = 354,909.43/654.76
  6. Step 6: Final answer
    x = 542.04

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Find fourth proportional to 327.38, 451.79 and 196.39
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1.5x scale

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.