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Finding the Fourth Proportional to 690.16, 953.67 and 493.33

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Solution

The fourth proportional to 690.16, 953.67 and 493.33 is: 681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 953.67 = 493.33 : x
  2. Step 2: Convert to fraction form
    690.16/953.67 = 493.33/x
  3. Step 3: Cross multiply
    690.16x = 953.67 × 493.33
  4. Step 4: Simplify right side
    690.16x = 470,474.02
  5. Step 5: Solve for x
    x = 470,474.02/690.16
  6. Step 6: Final answer
    x = 681.69

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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.