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Finding the Fourth Proportional to 548.64, 816.48 and 530.64

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Solution

The fourth proportional to 548.64, 816.48 and 530.64 is: 789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 816.48 = 530.64 : x
  2. Step 2: Convert to fraction form
    548.64/816.48 = 530.64/x
  3. Step 3: Cross multiply
    548.64x = 816.48 × 530.64
  4. Step 4: Simplify right side
    548.64x = 433,256.95
  5. Step 5: Solve for x
    x = 433,256.95/548.64
  6. Step 6: Final answer
    x = 789.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.