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Finding the Fourth Proportional to 522.38, 783.72 and 430.65

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Solution

The fourth proportional to 522.38, 783.72 and 430.65 is: 646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.38 : 783.72 = 430.65 : x
  2. Step 2: Convert to fraction form
    522.38/783.72 = 430.65/x
  3. Step 3: Cross multiply
    522.38x = 783.72 × 430.65
  4. Step 4: Simplify right side
    522.38x = 337,504.02
  5. Step 5: Solve for x
    x = 337,504.02/522.38
  6. Step 6: Final answer
    x = 646.09

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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.