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Finding the Fourth Proportional to 761.67, 1,050.98 and 495.99

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Solution

The fourth proportional to 761.67, 1,050.98 and 495.99 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.67 : 1,050.98 = 495.99 : x
  2. Step 2: Convert to fraction form
    761.67/1,050.98 = 495.99/x
  3. Step 3: Cross multiply
    761.67x = 1,050.98 × 495.99
  4. Step 4: Simplify right side
    761.67x = 521,273.09
  5. Step 5: Solve for x
    x = 521,273.09/761.67
  6. Step 6: Final answer
    x = 684.38

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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.