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Finding the Fourth Proportional to 566.77, 785.76 and 546.72

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Solution

The fourth proportional to 566.77, 785.76 and 546.72 is: 757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.77 : 785.76 = 546.72 : x
  2. Step 2: Convert to fraction form
    566.77/785.76 = 546.72/x
  3. Step 3: Cross multiply
    566.77x = 785.76 × 546.72
  4. Step 4: Simplify right side
    566.77x = 429,592.76
  5. Step 5: Solve for x
    x = 429,592.76/566.77
  6. Step 6: Final answer
    x = 757.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.