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Finding the Fourth Proportional to 703.12, 1,053.06 and 459.31

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Solution

The fourth proportional to 703.12, 1,053.06 and 459.31 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.12 : 1,053.06 = 459.31 : x
  2. Step 2: Convert to fraction form
    703.12/1,053.06 = 459.31/x
  3. Step 3: Cross multiply
    703.12x = 1,053.06 × 459.31
  4. Step 4: Simplify right side
    703.12x = 483,680.99
  5. Step 5: Solve for x
    x = 483,680.99/703.12
  6. Step 6: Final answer
    x = 687.91

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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.