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Finding the Fourth Proportional to 1,624.40, 2,241.96 and 916.40

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Solution

The fourth proportional to 1,624.40, 2,241.96 and 916.40 is: 1,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.40 : 2,241.96 = 916.40 : x
  2. Step 2: Convert to fraction form
    1,624.40/2,241.96 = 916.40/x
  3. Step 3: Cross multiply
    1,624.40x = 2,241.96 × 916.40
  4. Step 4: Simplify right side
    1,624.40x = 2,054,532.14
  5. Step 5: Solve for x
    x = 2,054,532.14/1,624.40
  6. Step 6: Final answer
    x = 1,264.79

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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.