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Finding the Fourth Proportional to 1,217.78, 1,826.76 and 592.90

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Solution

The fourth proportional to 1,217.78, 1,826.76 and 592.90 is: 889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.78 : 1,826.76 = 592.90 : x
  2. Step 2: Convert to fraction form
    1,217.78/1,826.76 = 592.90/x
  3. Step 3: Cross multiply
    1,217.78x = 1,826.76 × 592.90
  4. Step 4: Simplify right side
    1,217.78x = 1,083,086.00
  5. Step 5: Solve for x
    x = 1,083,086.00/1,217.78
  6. Step 6: Final answer
    x = 889.39

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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.