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Finding the Fourth Proportional to 690.69, 953.38 and 442.68

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Solution

The fourth proportional to 690.69, 953.38 and 442.68 is: 611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.69 : 953.38 = 442.68 : x
  2. Step 2: Convert to fraction form
    690.69/953.38 = 442.68/x
  3. Step 3: Cross multiply
    690.69x = 953.38 × 442.68
  4. Step 4: Simplify right side
    690.69x = 422,042.26
  5. Step 5: Solve for x
    x = 422,042.26/690.69
  6. Step 6: Final answer
    x = 611.04

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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.