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Finding the Fourth Proportional to 761.96, 1,051.38 and 425.81

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Solution

The fourth proportional to 761.96, 1,051.38 and 425.81 is: 587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.96 : 1,051.38 = 425.81 : x
  2. Step 2: Convert to fraction form
    761.96/1,051.38 = 425.81/x
  3. Step 3: Cross multiply
    761.96x = 1,051.38 × 425.81
  4. Step 4: Simplify right side
    761.96x = 447,682.86
  5. Step 5: Solve for x
    x = 447,682.86/761.96
  6. Step 6: Final answer
    x = 587.55

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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.