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Finding the Fourth Proportional to 477.99, 712.96 and 434.25

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Solution

The fourth proportional to 477.99, 712.96 and 434.25 is: 647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.99 : 712.96 = 434.25 : x
  2. Step 2: Convert to fraction form
    477.99/712.96 = 434.25/x
  3. Step 3: Cross multiply
    477.99x = 712.96 × 434.25
  4. Step 4: Simplify right side
    477.99x = 309,601.79
  5. Step 5: Solve for x
    x = 309,601.79/477.99
  6. Step 6: Final answer
    x = 647.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.