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Finding the Fourth Proportional to 711, 1,066.80 and 506.88

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Solution

The fourth proportional to 711, 1,066.80 and 506.88 is: 760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 1,066.80 = 506.88 : x
  2. Step 2: Convert to fraction form
    711/1,066.80 = 506.88/x
  3. Step 3: Cross multiply
    711x = 1,066.80 × 506.88
  4. Step 4: Simplify right side
    711x = 540,739.58
  5. Step 5: Solve for x
    x = 540,739.58/711
  6. Step 6: Final answer
    x = 760.53

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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.