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Finding the Fourth Proportional to 761.57, 1,049.51 and 525.09

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Solution

The fourth proportional to 761.57, 1,049.51 and 525.09 is: 723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.57 : 1,049.51 = 525.09 : x
  2. Step 2: Convert to fraction form
    761.57/1,049.51 = 525.09/x
  3. Step 3: Cross multiply
    761.57x = 1,049.51 × 525.09
  4. Step 4: Simplify right side
    761.57x = 551,087.21
  5. Step 5: Solve for x
    x = 551,087.21/761.57
  6. Step 6: Final answer
    x = 723.62

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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.