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Finding the Fourth Proportional to 546.08, 751.80 and 477.04

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Solution

The fourth proportional to 546.08, 751.80 and 477.04 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 751.80 = 477.04 : x
  2. Step 2: Convert to fraction form
    546.08/751.80 = 477.04/x
  3. Step 3: Cross multiply
    546.08x = 751.80 × 477.04
  4. Step 4: Simplify right side
    546.08x = 358,638.67
  5. Step 5: Solve for x
    x = 358,638.67/546.08
  6. Step 6: Final answer
    x = 656.75

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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.