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Finding the Fourth Proportional to 434.67, 654.59 and 391.83

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Solution

The fourth proportional to 434.67, 654.59 and 391.83 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.67 : 654.59 = 391.83 : x
  2. Step 2: Convert to fraction form
    434.67/654.59 = 391.83/x
  3. Step 3: Cross multiply
    434.67x = 654.59 × 391.83
  4. Step 4: Simplify right side
    434.67x = 256,486.04
  5. Step 5: Solve for x
    x = 256,486.04/434.67
  6. Step 6: Final answer
    x = 590.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.