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Finding the Fourth Proportional to 1,624.78, 2,242.38 and 916.75

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Solution

The fourth proportional to 1,624.78, 2,242.38 and 916.75 is: 1,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.78 : 2,242.38 = 916.75 : x
  2. Step 2: Convert to fraction form
    1,624.78/2,242.38 = 916.75/x
  3. Step 3: Cross multiply
    1,624.78x = 2,242.38 × 916.75
  4. Step 4: Simplify right side
    1,624.78x = 2,055,701.87
  5. Step 5: Solve for x
    x = 2,055,701.87/1,624.78
  6. Step 6: Final answer
    x = 1,265.22

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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.