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Finding the Fourth Proportional to 737.66, 1,018.06 and 541.24

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Solution

The fourth proportional to 737.66, 1,018.06 and 541.24 is: 746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.66 : 1,018.06 = 541.24 : x
  2. Step 2: Convert to fraction form
    737.66/1,018.06 = 541.24/x
  3. Step 3: Cross multiply
    737.66x = 1,018.06 × 541.24
  4. Step 4: Simplify right side
    737.66x = 551,014.79
  5. Step 5: Solve for x
    x = 551,014.79/737.66
  6. Step 6: Final answer
    x = 746.98

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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.