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Finding the Fourth Proportional to 746.06, 1,117.37 and 640.76

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Solution

The fourth proportional to 746.06, 1,117.37 and 640.76 is: 959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.06 : 1,117.37 = 640.76 : x
  2. Step 2: Convert to fraction form
    746.06/1,117.37 = 640.76/x
  3. Step 3: Cross multiply
    746.06x = 1,117.37 × 640.76
  4. Step 4: Simplify right side
    746.06x = 715,957.21
  5. Step 5: Solve for x
    x = 715,957.21/746.06
  6. Step 6: Final answer
    x = 959.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.