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Finding the Fourth Proportional to 435.79, 601.23 and 288.58

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Solution

The fourth proportional to 435.79, 601.23 and 288.58 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.79 : 601.23 = 288.58 : x
  2. Step 2: Convert to fraction form
    435.79/601.23 = 288.58/x
  3. Step 3: Cross multiply
    435.79x = 601.23 × 288.58
  4. Step 4: Simplify right side
    435.79x = 173,499.95
  5. Step 5: Solve for x
    x = 173,499.95/435.79
  6. Step 6: Final answer
    x = 398.13

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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.