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Finding the Fourth Proportional to 434.16, 595.86 and 422.01

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Solution

The fourth proportional to 434.16, 595.86 and 422.01 is: 579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 595.86 = 422.01 : x
  2. Step 2: Convert to fraction form
    434.16/595.86 = 422.01/x
  3. Step 3: Cross multiply
    434.16x = 595.86 × 422.01
  4. Step 4: Simplify right side
    434.16x = 251,457.30
  5. Step 5: Solve for x
    x = 251,457.30/434.16
  6. Step 6: Final answer
    x = 579.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.