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Finding the Fourth Proportional to 690.16, 953.68 and 493.36

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Solution

The fourth proportional to 690.16, 953.68 and 493.36 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 953.68 = 493.36 : x
  2. Step 2: Convert to fraction form
    690.16/953.68 = 493.36/x
  3. Step 3: Cross multiply
    690.16x = 953.68 × 493.36
  4. Step 4: Simplify right side
    690.16x = 470,507.56
  5. Step 5: Solve for x
    x = 470,507.56/690.16
  6. Step 6: Final answer
    x = 681.74

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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.