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Finding the Fourth Proportional to 688.15, 948.60 and 540.53

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Solution

The fourth proportional to 688.15, 948.60 and 540.53 is: 745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.15 : 948.60 = 540.53 : x
  2. Step 2: Convert to fraction form
    688.15/948.60 = 540.53/x
  3. Step 3: Cross multiply
    688.15x = 948.60 × 540.53
  4. Step 4: Simplify right side
    688.15x = 512,745.57
  5. Step 5: Solve for x
    x = 512,745.57/688.15
  6. Step 6: Final answer
    x = 745.11

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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.