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Finding the Fourth Proportional to 566.76, 778.68 and 526.68

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Solution

The fourth proportional to 566.76, 778.68 and 526.68 is: 723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 778.68 = 526.68 : x
  2. Step 2: Convert to fraction form
    566.76/778.68 = 526.68/x
  3. Step 3: Cross multiply
    566.76x = 778.68 × 526.68
  4. Step 4: Simplify right side
    566.76x = 410,115.18
  5. Step 5: Solve for x
    x = 410,115.18/566.76
  6. Step 6: Final answer
    x = 723.61

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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.