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Finding the Fourth Proportional to 690.57, 952.05 and 493.74

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Solution

The fourth proportional to 690.57, 952.05 and 493.74 is: 680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.57 : 952.05 = 493.74 : x
  2. Step 2: Convert to fraction form
    690.57/952.05 = 493.74/x
  3. Step 3: Cross multiply
    690.57x = 952.05 × 493.74
  4. Step 4: Simplify right side
    690.57x = 470,065.17
  5. Step 5: Solve for x
    x = 470,065.17/690.57
  6. Step 6: Final answer
    x = 680.69

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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.