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Finding the Fourth Proportional to 690.18, 952.04 and 428.02

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Solution

The fourth proportional to 690.18, 952.04 and 428.02 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.18 : 952.04 = 428.02 : x
  2. Step 2: Convert to fraction form
    690.18/952.04 = 428.02/x
  3. Step 3: Cross multiply
    690.18x = 952.04 × 428.02
  4. Step 4: Simplify right side
    690.18x = 407,492.16
  5. Step 5: Solve for x
    x = 407,492.16/690.18
  6. Step 6: Final answer
    x = 590.41

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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.