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Finding the Fourth Proportional to 703.16, 1,053.83 and 456.52

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Solution

The fourth proportional to 703.16, 1,053.83 and 456.52 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 1,053.83 = 456.52 : x
  2. Step 2: Convert to fraction form
    703.16/1,053.83 = 456.52/x
  3. Step 3: Cross multiply
    703.16x = 1,053.83 × 456.52
  4. Step 4: Simplify right side
    703.16x = 481,092.98
  5. Step 5: Solve for x
    x = 481,092.98/703.16
  6. Step 6: Final answer
    x = 684.18

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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.