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Finding the Fourth Proportional to 562.08, 777.12 and 431.52

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Solution

The fourth proportional to 562.08, 777.12 and 431.52 is: 596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.08 : 777.12 = 431.52 : x
  2. Step 2: Convert to fraction form
    562.08/777.12 = 431.52/x
  3. Step 3: Cross multiply
    562.08x = 777.12 × 431.52
  4. Step 4: Simplify right side
    562.08x = 335,342.82
  5. Step 5: Solve for x
    x = 335,342.82/562.08
  6. Step 6: Final answer
    x = 596.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.