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Finding the Fourth Proportional to 1,624.82, 2,242.29 and 916.67

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Solution

The fourth proportional to 1,624.82, 2,242.29 and 916.67 is: 1,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.82 : 2,242.29 = 916.67 : x
  2. Step 2: Convert to fraction form
    1,624.82/2,242.29 = 916.67/x
  3. Step 3: Cross multiply
    1,624.82x = 2,242.29 × 916.67
  4. Step 4: Simplify right side
    1,624.82x = 2,055,428.76
  5. Step 5: Solve for x
    x = 2,055,428.76/1,624.82
  6. Step 6: Final answer
    x = 1,265.02

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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.