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Finding the Fourth Proportional to 703.13, 970.26 and 454.01

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Solution

The fourth proportional to 703.13, 970.26 and 454.01 is: 626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.13 : 970.26 = 454.01 : x
  2. Step 2: Convert to fraction form
    703.13/970.26 = 454.01/x
  3. Step 3: Cross multiply
    703.13x = 970.26 × 454.01
  4. Step 4: Simplify right side
    703.13x = 440,507.74
  5. Step 5: Solve for x
    x = 440,507.74/703.13
  6. Step 6: Final answer
    x = 626.50

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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.