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Finding the Fourth Proportional to 623.44, 935 and 430.48

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Solution

The fourth proportional to 623.44, 935 and 430.48 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.44 : 935 = 430.48 : x
  2. Step 2: Convert to fraction form
    623.44/935 = 430.48/x
  3. Step 3: Cross multiply
    623.44x = 935 × 430.48
  4. Step 4: Simplify right side
    623.44x = 402,498.80
  5. Step 5: Solve for x
    x = 402,498.80/623.44
  6. Step 6: Final answer
    x = 645.61

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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.