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Finding the Fourth Proportional to 434.69, 647.84 and 434.01

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Solution

The fourth proportional to 434.69, 647.84 and 434.01 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.69 : 647.84 = 434.01 : x
  2. Step 2: Convert to fraction form
    434.69/647.84 = 434.01/x
  3. Step 3: Cross multiply
    434.69x = 647.84 × 434.01
  4. Step 4: Simplify right side
    434.69x = 281,165.80
  5. Step 5: Solve for x
    x = 281,165.80/434.69
  6. Step 6: Final answer
    x = 646.82

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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.