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Finding the Fourth Proportional to 1,010.99, 1,516.57 and 394.65

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Solution

The fourth proportional to 1,010.99, 1,516.57 and 394.65 is: 592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.99 : 1,516.57 = 394.65 : x
  2. Step 2: Convert to fraction form
    1,010.99/1,516.57 = 394.65/x
  3. Step 3: Cross multiply
    1,010.99x = 1,516.57 × 394.65
  4. Step 4: Simplify right side
    1,010.99x = 598,513.36
  5. Step 5: Solve for x
    x = 598,513.36/1,010.99
  6. Step 6: Final answer
    x = 592.01

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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.