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Finding the Fourth Proportional to 1,282.50, 1,922.40 and 916.20

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Solution

The fourth proportional to 1,282.50, 1,922.40 and 916.20 is: 1,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.50 : 1,922.40 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,282.50/1,922.40 = 916.20/x
  3. Step 3: Cross multiply
    1,282.50x = 1,922.40 × 916.20
  4. Step 4: Simplify right side
    1,282.50x = 1,761,302.88
  5. Step 5: Solve for x
    x = 1,761,302.88/1,282.50
  6. Step 6: Final answer
    x = 1,373.34

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1.5x scale

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.