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Finding the Fourth Proportional to 743.78, 1,115.17 and 256.77

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Solution

The fourth proportional to 743.78, 1,115.17 and 256.77 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.78 : 1,115.17 = 256.77 : x
  2. Step 2: Convert to fraction form
    743.78/1,115.17 = 256.77/x
  3. Step 3: Cross multiply
    743.78x = 1,115.17 × 256.77
  4. Step 4: Simplify right side
    743.78x = 286,341.56
  5. Step 5: Solve for x
    x = 286,341.56/743.78
  6. Step 6: Final answer
    x = 384.98

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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.