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Finding the Fourth Proportional to 434.77, 649.43 and 312.06

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Solution

The fourth proportional to 434.77, 649.43 and 312.06 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.77 : 649.43 = 312.06 : x
  2. Step 2: Convert to fraction form
    434.77/649.43 = 312.06/x
  3. Step 3: Cross multiply
    434.77x = 649.43 × 312.06
  4. Step 4: Simplify right side
    434.77x = 202,661.13
  5. Step 5: Solve for x
    x = 202,661.13/434.77
  6. Step 6: Final answer
    x = 466.13

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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.