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Finding the Fourth Proportional to 749.47, 1,124.36 and 255.83

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Solution

The fourth proportional to 749.47, 1,124.36 and 255.83 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.47 : 1,124.36 = 255.83 : x
  2. Step 2: Convert to fraction form
    749.47/1,124.36 = 255.83/x
  3. Step 3: Cross multiply
    749.47x = 1,124.36 × 255.83
  4. Step 4: Simplify right side
    749.47x = 287,647.84
  5. Step 5: Solve for x
    x = 287,647.84/749.47
  6. Step 6: Final answer
    x = 383.80

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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.