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Finding the Fourth Proportional to 761.86, 1,051.78 and 528.58

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Solution

The fourth proportional to 761.86, 1,051.78 and 528.58 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.86 : 1,051.78 = 528.58 : x
  2. Step 2: Convert to fraction form
    761.86/1,051.78 = 528.58/x
  3. Step 3: Cross multiply
    761.86x = 1,051.78 × 528.58
  4. Step 4: Simplify right side
    761.86x = 555,949.87
  5. Step 5: Solve for x
    x = 555,949.87/761.86
  6. Step 6: Final answer
    x = 729.73

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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.