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Finding the Fourth Proportional to 1,051.56, 1,451.12 and 631.84

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Solution

The fourth proportional to 1,051.56, 1,451.12 and 631.84 is: 871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.56 : 1,451.12 = 631.84 : x
  2. Step 2: Convert to fraction form
    1,051.56/1,451.12 = 631.84/x
  3. Step 3: Cross multiply
    1,051.56x = 1,451.12 × 631.84
  4. Step 4: Simplify right side
    1,051.56x = 916,875.66
  5. Step 5: Solve for x
    x = 916,875.66/1,051.56
  6. Step 6: Final answer
    x = 871.92

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Why These Related Problems?

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