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Finding the Fourth Proportional to 1,057.34, 1,459.64 and 703.85

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Solution

The fourth proportional to 1,057.34, 1,459.64 and 703.85 is: 971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.34 : 1,459.64 = 703.85 : x
  2. Step 2: Convert to fraction form
    1,057.34/1,459.64 = 703.85/x
  3. Step 3: Cross multiply
    1,057.34x = 1,459.64 × 703.85
  4. Step 4: Simplify right side
    1,057.34x = 1,027,364.09
  5. Step 5: Solve for x
    x = 1,027,364.09/1,057.34
  6. Step 6: Final answer
    x = 971.65

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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.