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Finding the Fourth Proportional to 700.76, 1,051.11 and 187.76

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Solution

The fourth proportional to 700.76, 1,051.11 and 187.76 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 1,051.11 = 187.76 : x
  2. Step 2: Convert to fraction form
    700.76/1,051.11 = 187.76/x
  3. Step 3: Cross multiply
    700.76x = 1,051.11 × 187.76
  4. Step 4: Simplify right side
    700.76x = 197,356.41
  5. Step 5: Solve for x
    x = 197,356.41/700.76
  6. Step 6: Final answer
    x = 281.63

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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.