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Finding the Fourth Proportional to 774.98, 1,162.47 and 300.05

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Solution

The fourth proportional to 774.98, 1,162.47 and 300.05 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,162.47 = 300.05 : x
  2. Step 2: Convert to fraction form
    774.98/1,162.47 = 300.05/x
  3. Step 3: Cross multiply
    774.98x = 1,162.47 × 300.05
  4. Step 4: Simplify right side
    774.98x = 348,799.12
  5. Step 5: Solve for x
    x = 348,799.12/774.98
  6. Step 6: Final answer
    x = 450.08

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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.