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Finding the Fourth Proportional to 435.63, 652.14 and 287.55

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Solution

The fourth proportional to 435.63, 652.14 and 287.55 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.63 : 652.14 = 287.55 : x
  2. Step 2: Convert to fraction form
    435.63/652.14 = 287.55/x
  3. Step 3: Cross multiply
    435.63x = 652.14 × 287.55
  4. Step 4: Simplify right side
    435.63x = 187,523.67
  5. Step 5: Solve for x
    x = 187,523.67/435.63
  6. Step 6: Final answer
    x = 430.47

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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.