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Finding the Fourth Proportional to 546.48, 750.96 and 488.16

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Solution

The fourth proportional to 546.48, 750.96 and 488.16 is: 670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 750.96 = 488.16 : x
  2. Step 2: Convert to fraction form
    546.48/750.96 = 488.16/x
  3. Step 3: Cross multiply
    546.48x = 750.96 × 488.16
  4. Step 4: Simplify right side
    546.48x = 366,588.63
  5. Step 5: Solve for x
    x = 366,588.63/546.48
  6. Step 6: Final answer
    x = 670.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.