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Finding the Fourth Proportional to 761.02, 1,049.94 and 499.20

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Solution

The fourth proportional to 761.02, 1,049.94 and 499.20 is: 688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.02 : 1,049.94 = 499.20 : x
  2. Step 2: Convert to fraction form
    761.02/1,049.94 = 499.20/x
  3. Step 3: Cross multiply
    761.02x = 1,049.94 × 499.20
  4. Step 4: Simplify right side
    761.02x = 524,130.05
  5. Step 5: Solve for x
    x = 524,130.05/761.02
  6. Step 6: Final answer
    x = 688.72

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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.