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Finding the Fourth Proportional to 1,072.99, 1,609.58 and 456.72

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Solution

The fourth proportional to 1,072.99, 1,609.58 and 456.72 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.99 : 1,609.58 = 456.72 : x
  2. Step 2: Convert to fraction form
    1,072.99/1,609.58 = 456.72/x
  3. Step 3: Cross multiply
    1,072.99x = 1,609.58 × 456.72
  4. Step 4: Simplify right side
    1,072.99x = 735,127.38
  5. Step 5: Solve for x
    x = 735,127.38/1,072.99
  6. Step 6: Final answer
    x = 685.12

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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.