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Finding the Fourth Proportional to 690.83, 952.98 and 428.39

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Solution

The fourth proportional to 690.83, 952.98 and 428.39 is: 590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.83 : 952.98 = 428.39 : x
  2. Step 2: Convert to fraction form
    690.83/952.98 = 428.39/x
  3. Step 3: Cross multiply
    690.83x = 952.98 × 428.39
  4. Step 4: Simplify right side
    690.83x = 408,245.91
  5. Step 5: Solve for x
    x = 408,245.91/690.83
  6. Step 6: Final answer
    x = 590.95

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1.5x scale

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.