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Finding the Fourth Proportional to 690.46, 953.08 and 457.66

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Solution

The fourth proportional to 690.46, 953.08 and 457.66 is: 631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.46 : 953.08 = 457.66 : x
  2. Step 2: Convert to fraction form
    690.46/953.08 = 457.66/x
  3. Step 3: Cross multiply
    690.46x = 953.08 × 457.66
  4. Step 4: Simplify right side
    690.46x = 436,181.83
  5. Step 5: Solve for x
    x = 436,181.83/690.46
  6. Step 6: Final answer
    x = 631.73

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Double scale
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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.