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Finding the Fourth Proportional to 1,262.99, 1,894.77 and 385.57

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Solution

The fourth proportional to 1,262.99, 1,894.77 and 385.57 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.99 : 1,894.77 = 385.57 : x
  2. Step 2: Convert to fraction form
    1,262.99/1,894.77 = 385.57/x
  3. Step 3: Cross multiply
    1,262.99x = 1,894.77 × 385.57
  4. Step 4: Simplify right side
    1,262.99x = 730,566.47
  5. Step 5: Solve for x
    x = 730,566.47/1,262.99
  6. Step 6: Final answer
    x = 578.44

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Double scale
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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.