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Finding the Fourth Proportional to 703.81, 1,053.96 and 521.34

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Solution

The fourth proportional to 703.81, 1,053.96 and 521.34 is: 780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.81 : 1,053.96 = 521.34 : x
  2. Step 2: Convert to fraction form
    703.81/1,053.96 = 521.34/x
  3. Step 3: Cross multiply
    703.81x = 1,053.96 × 521.34
  4. Step 4: Simplify right side
    703.81x = 549,471.51
  5. Step 5: Solve for x
    x = 549,471.51/703.81
  6. Step 6: Final answer
    x = 780.71

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Why These Related Problems?

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