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Finding the Fourth Proportional to 434.89, 649.16 and 377.52

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Solution

The fourth proportional to 434.89, 649.16 and 377.52 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 649.16 = 377.52 : x
  2. Step 2: Convert to fraction form
    434.89/649.16 = 377.52/x
  3. Step 3: Cross multiply
    434.89x = 649.16 × 377.52
  4. Step 4: Simplify right side
    434.89x = 245,070.88
  5. Step 5: Solve for x
    x = 245,070.88/434.89
  6. Step 6: Final answer
    x = 563.52

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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.