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Finding the Fourth Proportional to 1,307.82, 1,961.62 and 614.64

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Solution

The fourth proportional to 1,307.82, 1,961.62 and 614.64 is: 921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.82 : 1,961.62 = 614.64 : x
  2. Step 2: Convert to fraction form
    1,307.82/1,961.62 = 614.64/x
  3. Step 3: Cross multiply
    1,307.82x = 1,961.62 × 614.64
  4. Step 4: Simplify right side
    1,307.82x = 1,205,690.12
  5. Step 5: Solve for x
    x = 1,205,690.12/1,307.82
  6. Step 6: Final answer
    x = 921.91

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Half scale
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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.