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Finding the Fourth Proportional to 567.39, 851.77 and 538.68

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Solution

The fourth proportional to 567.39, 851.77 and 538.68 is: 808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.39 : 851.77 = 538.68 : x
  2. Step 2: Convert to fraction form
    567.39/851.77 = 538.68/x
  3. Step 3: Cross multiply
    567.39x = 851.77 × 538.68
  4. Step 4: Simplify right side
    567.39x = 458,828.77
  5. Step 5: Solve for x
    x = 458,828.77/567.39
  6. Step 6: Final answer
    x = 808.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.