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Finding the Fourth Proportional to 689.15, 949.98 and 541.53

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Solution

The fourth proportional to 689.15, 949.98 and 541.53 is: 746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.15 : 949.98 = 541.53 : x
  2. Step 2: Convert to fraction form
    689.15/949.98 = 541.53/x
  3. Step 3: Cross multiply
    689.15x = 949.98 × 541.53
  4. Step 4: Simplify right side
    689.15x = 514,442.67
  5. Step 5: Solve for x
    x = 514,442.67/689.15
  6. Step 6: Final answer
    x = 746.49

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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.