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Finding the Fourth Proportional to 931.62, 1,397.64 and 306.95

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Solution

The fourth proportional to 931.62, 1,397.64 and 306.95 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.62 : 1,397.64 = 306.95 : x
  2. Step 2: Convert to fraction form
    931.62/1,397.64 = 306.95/x
  3. Step 3: Cross multiply
    931.62x = 1,397.64 × 306.95
  4. Step 4: Simplify right side
    931.62x = 429,005.60
  5. Step 5: Solve for x
    x = 429,005.60/931.62
  6. Step 6: Final answer
    x = 460.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.