Home / 1,193.04-1,787.76-543.60

Finding the Fourth Proportional to 1,193.04, 1,787.76 and 543.60

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Solution

The fourth proportional to 1,193.04, 1,787.76 and 543.60 is: 814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,787.76 = 543.60 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,787.76 = 543.60/x
  3. Step 3: Cross multiply
    1,193.04x = 1,787.76 × 543.60
  4. Step 4: Simplify right side
    1,193.04x = 971,826.34
  5. Step 5: Solve for x
    x = 971,826.34/1,193.04
  6. Step 6: Final answer
    x = 814.58

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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.