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Finding the Fourth Proportional to 567.52, 852.98 and 470.66

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Solution

The fourth proportional to 567.52, 852.98 and 470.66 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.52 : 852.98 = 470.66 : x
  2. Step 2: Convert to fraction form
    567.52/852.98 = 470.66/x
  3. Step 3: Cross multiply
    567.52x = 852.98 × 470.66
  4. Step 4: Simplify right side
    567.52x = 401,456.95
  5. Step 5: Solve for x
    x = 401,456.95/567.52
  6. Step 6: Final answer
    x = 707.39

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