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Finding the Fourth Proportional to 435.48, 652.20 and 313.83

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Solution

The fourth proportional to 435.48, 652.20 and 313.83 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 652.20 = 313.83 : x
  2. Step 2: Convert to fraction form
    435.48/652.20 = 313.83/x
  3. Step 3: Cross multiply
    435.48x = 652.20 × 313.83
  4. Step 4: Simplify right side
    435.48x = 204,679.93
  5. Step 5: Solve for x
    x = 204,679.93/435.48
  6. Step 6: Final answer
    x = 470.01

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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.