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Finding the Fourth Proportional to 1,330.89, 1,996.53 and 465

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Solution

The fourth proportional to 1,330.89, 1,996.53 and 465 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.89 : 1,996.53 = 465 : x
  2. Step 2: Convert to fraction form
    1,330.89/1,996.53 = 465/x
  3. Step 3: Cross multiply
    1,330.89x = 1,996.53 × 465
  4. Step 4: Simplify right side
    1,330.89x = 928,386.45
  5. Step 5: Solve for x
    x = 928,386.45/1,330.89
  6. Step 6: Final answer
    x = 697.57

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Double scale
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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.