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Finding the Fourth Proportional to 469.30, 700.26 and 423.22

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Solution

The fourth proportional to 469.30, 700.26 and 423.22 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.30 : 700.26 = 423.22 : x
  2. Step 2: Convert to fraction form
    469.30/700.26 = 423.22/x
  3. Step 3: Cross multiply
    469.30x = 700.26 × 423.22
  4. Step 4: Simplify right side
    469.30x = 296,364.04
  5. Step 5: Solve for x
    x = 296,364.04/469.30
  6. Step 6: Final answer
    x = 631.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.