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Finding the Fourth Proportional to 611.64, 915.94 and 553.20

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Solution

The fourth proportional to 611.64, 915.94 and 553.20 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 915.94 = 553.20 : x
  2. Step 2: Convert to fraction form
    611.64/915.94 = 553.20/x
  3. Step 3: Cross multiply
    611.64x = 915.94 × 553.20
  4. Step 4: Simplify right side
    611.64x = 506,698.01
  5. Step 5: Solve for x
    x = 506,698.01/611.64
  6. Step 6: Final answer
    x = 828.43

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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.