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Finding the Fourth Proportional to 761.04, 1,049.58 and 499.14

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Solution

The fourth proportional to 761.04, 1,049.58 and 499.14 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,049.58 = 499.14 : x
  2. Step 2: Convert to fraction form
    761.04/1,049.58 = 499.14/x
  3. Step 3: Cross multiply
    761.04x = 1,049.58 × 499.14
  4. Step 4: Simplify right side
    761.04x = 523,887.36
  5. Step 5: Solve for x
    x = 523,887.36/761.04
  6. Step 6: Final answer
    x = 688.38

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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.