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Finding the Fourth Proportional to 690.23, 952.17 and 493.86

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Solution

The fourth proportional to 690.23, 952.17 and 493.86 is: 681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.23 : 952.17 = 493.86 : x
  2. Step 2: Convert to fraction form
    690.23/952.17 = 493.86/x
  3. Step 3: Cross multiply
    690.23x = 952.17 × 493.86
  4. Step 4: Simplify right side
    690.23x = 470,238.68
  5. Step 5: Solve for x
    x = 470,238.68/690.23
  6. Step 6: Final answer
    x = 681.28

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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.