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Finding the Fourth Proportional to 1,001.34, 1,381.75 and 553.14

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Solution

The fourth proportional to 1,001.34, 1,381.75 and 553.14 is: 763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.34 : 1,381.75 = 553.14 : x
  2. Step 2: Convert to fraction form
    1,001.34/1,381.75 = 553.14/x
  3. Step 3: Cross multiply
    1,001.34x = 1,381.75 × 553.14
  4. Step 4: Simplify right side
    1,001.34x = 764,299.81
  5. Step 5: Solve for x
    x = 764,299.81/1,001.34
  6. Step 6: Final answer
    x = 763.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.