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Finding the Fourth Proportional to 434.32, 647.45 and 427.66

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Solution

The fourth proportional to 434.32, 647.45 and 427.66 is: 637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.32 : 647.45 = 427.66 : x
  2. Step 2: Convert to fraction form
    434.32/647.45 = 427.66/x
  3. Step 3: Cross multiply
    434.32x = 647.45 × 427.66
  4. Step 4: Simplify right side
    434.32x = 276,885.23
  5. Step 5: Solve for x
    x = 276,885.23/434.32
  6. Step 6: Final answer
    x = 637.52

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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.