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Finding the Fourth Proportional to 690.32, 952.64 and 428.16

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Solution

The fourth proportional to 690.32, 952.64 and 428.16 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.32 : 952.64 = 428.16 : x
  2. Step 2: Convert to fraction form
    690.32/952.64 = 428.16/x
  3. Step 3: Cross multiply
    690.32x = 952.64 × 428.16
  4. Step 4: Simplify right side
    690.32x = 407,882.34
  5. Step 5: Solve for x
    x = 407,882.34/690.32
  6. Step 6: Final answer
    x = 590.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.