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Finding the Fourth Proportional to 546.42, 815.40 and 488.01

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Solution

The fourth proportional to 546.42, 815.40 and 488.01 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 815.40 = 488.01 : x
  2. Step 2: Convert to fraction form
    546.42/815.40 = 488.01/x
  3. Step 3: Cross multiply
    546.42x = 815.40 × 488.01
  4. Step 4: Simplify right side
    546.42x = 397,928.24
  5. Step 5: Solve for x
    x = 397,928.24/546.42
  6. Step 6: Final answer
    x = 728.25

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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.