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Finding the Fourth Proportional to 703.94, 1,056.06 and 457.07

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Solution

The fourth proportional to 703.94, 1,056.06 and 457.07 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.94 : 1,056.06 = 457.07 : x
  2. Step 2: Convert to fraction form
    703.94/1,056.06 = 457.07/x
  3. Step 3: Cross multiply
    703.94x = 1,056.06 × 457.07
  4. Step 4: Simplify right side
    703.94x = 482,692.32
  5. Step 5: Solve for x
    x = 482,692.32/703.94
  6. Step 6: Final answer
    x = 685.70

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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.