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Finding the Fourth Proportional to 435.17, 652.47 and 297.80

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Solution

The fourth proportional to 435.17, 652.47 and 297.80 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.17 : 652.47 = 297.80 : x
  2. Step 2: Convert to fraction form
    435.17/652.47 = 297.80/x
  3. Step 3: Cross multiply
    435.17x = 652.47 × 297.80
  4. Step 4: Simplify right side
    435.17x = 194,302.30
  5. Step 5: Solve for x
    x = 194,302.30/435.17
  6. Step 6: Final answer
    x = 446.50

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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.