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Finding the Fourth Proportional to 761, 1,050.54 and 733.64

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Solution

The fourth proportional to 761, 1,050.54 and 733.64 is: 1,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    761 : 1,050.54 = 733.64 : x
  2. Step 2: Convert to fraction form
    761/1,050.54 = 733.64/x
  3. Step 3: Cross multiply
    761x = 1,050.54 × 733.64
  4. Step 4: Simplify right side
    761x = 770,718.17
  5. Step 5: Solve for x
    x = 770,718.17/761
  6. Step 6: Final answer
    x = 1,012.77

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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.