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Finding the Fourth Proportional to 922.99, 1,384.62 and 306.85

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Solution

The fourth proportional to 922.99, 1,384.62 and 306.85 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.99 : 1,384.62 = 306.85 : x
  2. Step 2: Convert to fraction form
    922.99/1,384.62 = 306.85/x
  3. Step 3: Cross multiply
    922.99x = 1,384.62 × 306.85
  4. Step 4: Simplify right side
    922.99x = 424,870.65
  5. Step 5: Solve for x
    x = 424,870.65/922.99
  6. Step 6: Final answer
    x = 460.32

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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.