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Finding the Fourth Proportional to 435.65, 652.91 and 379.84

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Solution

The fourth proportional to 435.65, 652.91 and 379.84 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.65 : 652.91 = 379.84 : x
  2. Step 2: Convert to fraction form
    435.65/652.91 = 379.84/x
  3. Step 3: Cross multiply
    435.65x = 652.91 × 379.84
  4. Step 4: Simplify right side
    435.65x = 248,001.16
  5. Step 5: Solve for x
    x = 248,001.16/435.65
  6. Step 6: Final answer
    x = 569.26

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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.