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Finding the Fourth Proportional to 761.20, 1,051.28 and 525.49

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Solution

The fourth proportional to 761.20, 1,051.28 and 525.49 is: 725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.20 : 1,051.28 = 525.49 : x
  2. Step 2: Convert to fraction form
    761.20/1,051.28 = 525.49/x
  3. Step 3: Cross multiply
    761.20x = 1,051.28 × 525.49
  4. Step 4: Simplify right side
    761.20x = 552,433.84
  5. Step 5: Solve for x
    x = 552,433.84/761.20
  6. Step 6: Final answer
    x = 725.74

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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.